47
47

Sep 18, 2013
09/13

by
I. V. Gornyi; A. D. Mirlin

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We study the interaction-induced quantum correction \delta\sigma_{\alpha\beta} to the conductivity tensor of electrons in two dimensions for arbitrary T\tau (where T is the temperature and \tau the transport scattering time), magnetic field, and type of disorder. A general theory is developed, allowing us to express \delta\sigma_{\alpha\beta} in terms of classical propagators (``ballistic diffusons''). The formalism is used to calculate the interaction contribution to the longitudinal and the...

Source: http://arxiv.org/abs/cond-mat/0306029v1

124
124

Jul 20, 2013
07/13

by
I. V. Gornyi; A. D. Mirlin

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We study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth random potential, which allows us to apply the ballistic $\sigma$-model approach. We analyze conditions of applicability of the $\sigma$-model, emphasizing the role played by the single-particle mean free path and the Lyapunov exponent due to the random potential. In particular, we present a resolution of the puzzle of repetitions of periodic orbits counted...

Source: http://arxiv.org/abs/cond-mat/0107552v1

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42

Sep 18, 2013
09/13

by
I. V. Gornyi; A. D. Mirlin

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We study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth disorder. The conjecture of Gaussian fluctuations of wave functions put forward by Berry and generalized by Hortikar and Srednicki is proven to hold on sufficiently short distances, while it is found to be strongly violated on larger scales. This also resolves the conflict between the above conjecture and the wave function normalization. The method is further used...

Source: http://arxiv.org/abs/cond-mat/0105103v1

44
44

Sep 17, 2013
09/13

by
I. V. Gornyi; A. D. Mirlin

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We study interaction-induced quantum correction to the conductivity tensor of electrons in two dimensions for arbitrary T tau, where T is the temperature and tau the transport mean free time. A general formula is derived, expressing the correction in terms of classical propagators ("ballistic diffusons"). The formalism is used to calculate the interaction contribution to the magnetoresistance in a classically strong transverse field and smooth disorder in the whole range of...

Source: http://arxiv.org/abs/cond-mat/0207557v2

36
36

Sep 18, 2013
09/13

by
D. G. Polyakov; I. V. Gornyi

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We generalize the fermionic renormalization group method to describe analytically transport through a double barrier structure in a one-dimensional system. Focusing on the case of weakly interacting electrons, we investigate thoroughly the dependence of the conductance on the strength and the shape of the double barrier for arbitrary temperature T. Our approach allows us to systematically analyze the contributions to renormalized scattering amplitudes from different characteristic scales absent...

Source: http://arxiv.org/abs/cond-mat/0212355v2

2
2.0

Jun 28, 2018
06/18

by
A. G. Yashenkin; I. V. Gornyi

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The phenomenon of low-temperature spin Coulomb drag in a two-dimensional electron gas is investigated. The spin transresistivity coefficient is essentially enhanced in the diffusive regime, as compared to conventional predictions. The origin of this enhancement is the quantum coherence of spin-up and spin-down electrons propagating in the same random impurity potential and coupled via the Coulomb interaction. A comprehensive analysis of spin and interlayer Coulomb drag effects is presented.

Topics: Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1510.08702

37
37

Sep 22, 2013
09/13

by
I. V. Gornyi; A. D. Mirlin; P. Woelfle

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We study long-range correlations of equilibrium current densities in a two-dimensional mesoscopic system with the time reversal invariance broken by a random or homogeneous magnetic field. Our result is universal, i.e. it does not depend on the type (random potential or random magnetic field) or correlation length of disorder. This contradicts recent sigma-model calculations of Taras-Semchuk and Efetov (TS&E) for the current correlation function, as well as for the renormalization of the...

Source: http://arxiv.org/abs/cond-mat/0011208v1

48
48

Sep 18, 2013
09/13

by
Y. Adamov; I. V. Gornyi; A. D. Mirlin

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Motivated by recent experiments, we study the interaction corrections to the damping of magnetooscillations in a two-dimensional electron gas (2DEG). We identify leading contributions to the interaction-induced damping which are induced by corrections to the effective mass and quantum scattering time. The damping factor is calculated for Coulomb and short-range interaction in the whole range of temperatures, from the ballistic to the diffusive regime. It is shown that the dominant effect is...

Source: http://arxiv.org/abs/cond-mat/0509463v2

6
6.0

Jun 28, 2018
06/18

by
J. Klier; I. V. Gornyi; A. D. Mirlin

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We explore theoretically the magnetoresistvity of three-dimensional Weyl and Dirac semimetals in transversal magnetic fields within two alternative models of disorder: (i) short-range impurities and (ii) charged (Coulomb) impurities. Impurity scattering is treated using the self-consistent Born approximation. We find that an unusual broadening of Landau levels leads to a variety of regimes of the resistivity scaling in the temperature-magnetic field plane. In particular, the magnetoresitance is...

Topics: Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1507.03481

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30

Sep 18, 2013
09/13

by
Y. Adamov; I. V. Gornyi; A. D. Mirlin

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We investigate the sensitivity of a disordered system with diffractive scatterers to a weak external perturbation. Specifically, we calculate the fidelity M(t) (also called the Loschmidt echo) characterizing a return probability after a propagation for a time $t$ followed by a backward propagation governed by a slightly perturbed Hamiltonian. For short-range scatterers we perform a diagrammatic calculation showing that the fidelity decays first exponentially according to the golden rule, and...

Source: http://arxiv.org/abs/cond-mat/0212065v1

35
35

Sep 17, 2013
09/13

by
D. G. Polyakov; F. Evers; I. V. Gornyi

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We study the dynamical properties of an electron gas scattered by impenetrable antidots in the presence of a strong magnetic field. We find that the lineshape of the cyclotron resonance is very different from the Lorentzian and is not characterized by the Drude scattering rate. We show that the dissipative dynamical response of skipping orbits, $S_c(\omega)$, is broadened on a scale of the cyclotron frequency $\omega_c$ and has a sharp dip $\propto |\omega-\omega_c|$. For small antidots,...

Source: http://arxiv.org/abs/cond-mat/0108233v1

45
45

Sep 19, 2013
09/13

by
M. Titov; P. M. Ostrovsky; I. V. Gornyi

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We study the effect of resonant scatterers on the local density of states in a rectangular graphene setup with metallic leads. We find that the density of states in a vicinity of the Dirac point acquires a strong position dependence due to both metallic proximity effect and impurity scattering. This effect may prevent uniform gating of weakly-doped samples. We also demonstrate that even a single-atom impurity may essentially alter electronic states at low-doping on distances of the order of the...

Source: http://arxiv.org/abs/0910.2339v1

62
62

Sep 21, 2013
09/13

by
P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This gives rise to a number of unusual physical properties of this system distinguishing it from conventional two-dimensional metals. One of the most remarkable properties of graphene is the anomalous quantum Hall effect. It is extremely sensitive to the structure...

Source: http://arxiv.org/abs/0712.0597v1

2
2.0

Jun 28, 2018
06/18

by
L. E. Golub; I. V. Gornyi; V. Yu. Kachorovskii

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We develop the theory of quantum transport and magnetoconductivity for two-dimensional electrons with an arbitrary large (even exceeding the Fermi energy), linear-in-momentum Rashba or Dresselhaus spin-orbit splitting. For short-range disorder potential, we derive the analytical expression for the quantum conductivity correction, which accounts for interference processes with an arbitrary number of scattering events and is valid beyond the diffusion approximation. We demonstrate that the...

Topics: Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1512.05800

2
2.0

Jun 28, 2018
06/18

by
I. V. Gornyi; A. D. Mirlin; D. G. Polyakov

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We revisit the problem of quantum localization of many-body states in a quantum dot and the associated problem of relaxation of an excited state in a finite correlated electron system. We determine the localization threshold for the eigenstates in Fock space. We argue that the localization-delocalization transition (which manifests itself, e.g., in the statistics of many-body energy levels) becomes sharp in the limit of a large dimensionless conductance (or, equivalently, in the limit of weak...

Topics: Strongly Correlated Electrons, Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1512.01807

38
38

Sep 22, 2013
09/13

by
P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that the localization is ineffective if the randomness preserves one of the chiral symmetries of the clean Hamiltonian or does not mix valleys. We obtain the exact value of minimal conductivity $4e^2/\pi h$ in the case of chiral disorder. For long-range disorder...

Source: http://arxiv.org/abs/cond-mat/0702616v1

3
3.0

Jun 28, 2018
06/18

by
A. P. Dmitriev; I. V. Gornyi; D. G. Polyakov

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We investigate the influence of the chemical potential mismatch $\Delta$ (different electron densities) on Coulomb drag between two parallel ballistic quantum wires. For pair collisions, the drag resistivity $\rho_{\rm D}(\Delta)$ shows a peculiar anomaly at $\Delta=0$ with $\rho_{\rm D}$ being finite at $\Delta=0$ and vanishing at any nonzero $\Delta$. The "bodyless" resonance in $\rho_{\rm D}(\Delta)$ at zero $\Delta$ is only broadened by processes of multi-particle scattering. We...

Topics: Strongly Correlated Electrons, Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1512.00373

4
4.0

Jun 30, 2018
06/18

by
I. S. Burmistrov; I. V. Gornyi; A. D. Mirlin

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Mesoscopic fluctuations and correlations of the local density of states are studied near metal-insulator transitions in disordered interacting electronic systems. We show that the multifractal behavior of the local density of states survives in the presence of Coulomb interaction. We calculate the spectrum of multifractal exponents in $2+\epsilon$ spatial dimensions for symmetry classes characterized by broken (partially or fully) spin-rotation invariance and show that it differs from that in...

Topics: Mesoscale and Nanoscale Physics, Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1412.3306

7
7.0

Jun 27, 2018
06/18

by
I. S. Burmistrov; I. V. Gornyi; A. D. Mirlin

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Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence of the resistivity, the phase diagram, as well as the magnetoresistance. The analysis is based on the renormalization group (RG) for a nonlinear sigma model. Derived RG equations are valid to the lowest order in disorder but for arbitrary electron-electron...

Topics: Condensed Matter, Mesoscale and Nanoscale Physics, Superconductivity

Source: http://arxiv.org/abs/1503.06540

30
30

Sep 18, 2013
09/13

by
I. S. Burmistrov; I. V. Gornyi; K. S. Tikhonov

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We report a detailed study of the influence of the electron-electron interaction on physical observables (conductance, etc.) of a disordered electron liquid in double quantum well heterostructure. We find that even in the case of common elastic scattering off electrons in both quantum wells, the asymmetry in the electron-electron interaction across and within quantum wells decouples them at low temperatures. Our results are in quantitative agreement with recent transport experiments on the...

Source: http://arxiv.org/abs/1102.0084v1

42
42

Sep 18, 2013
09/13

by
I. V. Gornyi; A. G. Yashenkin; D. V. Khveshchenko

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We study the effect of correlations between impurity potentials in different layers on the Coulomb drag in a double-layer electron system. It is found that for strongly correlated potentials the drag in the diffusive regime is considerably enhanced as compared to conventional predictions. The appropriate experimental conditions are discussed, and the new experiments are suggested.

Source: http://arxiv.org/abs/cond-mat/9901098v1

2
2.0

Jun 29, 2018
06/18

by
I. S. Burmistrov; I. V. Gornyi; A. D. Mirlin

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We develop a theory of the local density of states (LDOS) of disordered superconductors, employing the non-linear sigma-model formalism and the renormalization-group framework. The theory takes into account the interplay of disorder and interaction couplings in all channels, treating the systems with short-range and Coulomb interactions on equal footing. We explore 2D systems that would be Anderson insulators in the absence of interaction and 2D or 3D systems that undergo Anderson transition in...

Topics: Mesoscale and Nanoscale Physics, Superconductivity, Condensed Matter

Source: http://arxiv.org/abs/1603.03017

44
44

Sep 22, 2013
09/13

by
G. M. Minkov; A. V. Germanenko; I. V. Gornyi

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We study, both theoretically and experimentally, the negative magnetoresistance (MR) of a two-dimensional (2D) electron gas in a weak transverse magnetic field $B$. The analysis is carried out in a wide range of zero-$B$ conductances $g$ (measured in units of $e^2/h$), including the range of intermediate conductances, $g\sim 1$. Interpretation of the experimental results obtained for a 2D electron gas in GaAs/In$_x$Ga$_{1-x}$As/GaAs single quantum well structures is based on the theory which...

Source: http://arxiv.org/abs/cond-mat/0403289v1

40
40

Sep 20, 2013
09/13

by
I. V. Gornyi; A. D. Mirlin; D. G. Polyakov

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We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated one-dimensional electron system. Two alternative approaches to the problem are developed, both combining fermionic and bosonic treatment of the underlying physics. We calculate the relevant dephasing rate, which for spinless electrons is governed by the interplay of...

Source: http://arxiv.org/abs/cond-mat/0608590v2

27
27

Sep 19, 2013
09/13

by
A. P. Dmitriev; I. V. Gornyi; V. Yu. Kachorovskii

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We show that the enhancement of backscattering responsible for the weak localization is accompanied by reduction of the scattering in other directions. A simple quasiclassical interpretation of this phenomenon is presented in terms of a small change in the effective differential cross-section for a single impurity. The reduction of the scattering at the arbitrary angles leads to the decrease of the quantum correction to the conductivity. Within the diffusion approximation this decrease is...

Source: http://arxiv.org/abs/cond-mat/9703239v2

46
46

Sep 18, 2013
09/13

by
I. S. Burmistrov; I. V. Gornyi; A. D. Mirlin

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Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and assumed to be short-range. Two-dimensional systems in the weak localization and antilocalization regime, as well as systems near mobility edge are considered. It is shown that in all these regimes the Anderson localization leads to strong enhancement of T_c...

Source: http://arxiv.org/abs/1102.3323v1

42
42

Sep 22, 2013
09/13

by
D. V. Khveshchenko; A. G. Yashenkin; I. V. Gornyi

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We study the effects of quasiparticle interactions on disorder-induced localization of Dirac-like nodal excitations in superconducting high-$T_c$ cuprates. As suggested by the experimental ARPES and terahertz conductivity data in $Bi_2Sr_2CaCu_2O_{8+\delta}$, we focus on the interactions mediated by the order parameter fluctuations near an incipient second pairing transition $d\to d+is$. We find interaction corrections to the density of states, specific heat, and conductivity as well as phase...

Source: http://arxiv.org/abs/cond-mat/0011249v4

2
2.0

Jun 30, 2018
06/18

by
I. V. Gornyi; V. Yu. Kachorovskii; P. M. Ostrovsky

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We study the quantum interference correction to the conductivity in HgTe quantum wells using the Bernevig-Hughes-Zhang model. This model consists of two independent species (blocks) of massive Dirac fermions. We describe the crossover between the orthogonal and symplectic classes with the increasing the carrier concentration and calculate, respectively, weak localization and antilocalization corrections in the absence of the block mixing and assuming the white-noise disorder within each block....

Topics: Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1402.7097

57
57

Sep 20, 2013
09/13

by
A. P. Dmitriev; I. V. Gornyi; D. G. Polyakov

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We develop a kinetic equation description of Coulomb drag between ballistic one-dimensional electron systems, which enables us to demonstrate that equilibration processes between right- and left-moving electrons are crucially important for establishing dc drag. In one-dimensional geometry, this type of equilibration requires either backscattering near the Fermi level or scattering with small momentum transfer near the bottom of the electron spectrum. Importantly, pairwise forward scattering in...

Source: http://arxiv.org/abs/1207.1089v2

38
38

Sep 20, 2013
09/13

by
I. V. Gornyi; A. D. Mirlin; D. G. Polyakov

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We study transport of interacting electrons in a low-dimensional disordered system at low temperature $T$. In view of localization by disorder, the conductivity $\sigma(T)$ may only be non-zero due to electron-electron scattering. For weak interactions, the weak-localization regime crosses over with lowering $T$ into a dephasing-induced "power-law hopping". As $T$ is further decreased, the Anderson localization in Fock space crucially affects $\sigma(T)$, inducing a transition at...

Source: http://arxiv.org/abs/cond-mat/0506411v1

32
32

Sep 18, 2013
09/13

by
D. A. Bagrets; I. V. Gornyi; D. G. Polyakov

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We develop a kinetic theory for strongly correlated disordered one-dimensional electron systems out of equilibrium, within the Luttinger liquid model. In the absence of inhomogeneities, the model exhibits no relaxation to equilibrium. We derive kinetic equations for electron and plasmon distribution functions in the presence of impurities and calculate the equilibration rate $\gamma_E$. Remarkably, for not too low temperature and bias voltage, $\gamma_E$ is given by the elastic backscattering...

Source: http://arxiv.org/abs/0809.3166v2

46
46

Sep 19, 2013
09/13

by
P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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Critical phenomena and quantum phase transitions are paradigmatic concepts in modern condensed matter physics. A central example in the field of mesoscopic physics is the localization-delocalization (metal-insulator) quantum phase transition driven by disorder -- the Anderson transition. Although the notion of localization has appeared half a century ago, this field is still full of surprising new developments. The most recent arenas where novel peculiar localization phenomena have been studied...

Source: http://arxiv.org/abs/0910.1338v1

48
48

Sep 21, 2013
09/13

by
I. V. Gornyi; A. D. Mirlin; D. G. Polyakov

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We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron scattering. We demonstrate that the notion of weak localization is applicable to the strongly correlated one-dimensional electron system. We calculate the relevant dephasing rate, which for spinless electrons is governed by the interplay of electron-electron...

Source: http://arxiv.org/abs/cond-mat/0407305v4

2
2.0

Jun 29, 2018
06/18

by
I. V. Gornyi; V. Yu. Kachorovskii; A. D. Mirlin

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The discovery of graphene, a single monolayer of graphite, has closed the discussion on stability of 2D crystals. Although thermal fluctuations of such crystals tend to destroy the long-range order in the system, the crystal can be stabilized by strong anharmonicity effects. This competition is the central issue of the crumpling transition, i.e., a transition between flat and crumpled phases. We show that anharmonicity-controlled fluctuations of a graphene membrane around equilibrium flat phase...

Topics: Mesoscale and Nanoscale Physics, Disordered Systems and Neural Networks, Statistical Mechanics,...

Source: http://arxiv.org/abs/1603.00398

52
52

Sep 20, 2013
09/13

by
P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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We perform a symmetry analysis of a 2D electron system in HgTe/HgCdTe quantum wells in the situation when the chemical potential is outside of the gap, so that the bulk of the quantum well is conducting. In order to investigate quantum transport properties of the system, we explore symmetries of the low-energy Hamiltonian which is expressed in terms of two flavors of Dirac fermions, and physically important symmetry-breaking mechanisms. This allows us to predict emerging patterns of symmetry...

Source: http://arxiv.org/abs/1207.4102v1

68
68

Jul 20, 2013
07/13

by
I. V. Gornyi; A. D. Mirlin; F. von Oppen

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Recent experiments on Coulomb drag in the quantum Hall regime have yielded a number of surprises. The most striking observations are that the Coulomb drag can become negative in high Landau levels and that its temperature dependence is non-monotonous. We develop a systematic diagrammatic theory of Coulomb drag in strong magnetic fields explaining these puzzling experiments. The theory is applicable both in the diffusive and the ballistic regimes; we focus on the experimentally relevant...

Source: http://arxiv.org/abs/cond-mat/0406176v1

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12

Jun 27, 2018
06/18

by
I. V. Gornyi; V. Yu. Kachorovskii; A. D. Mirlin

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Graphene is a famous realization of elastic crystalline 2D membrane. Thermal fluctuations of a 2D membrane tend to destroy the long-range order in the system. Such fluctuations are stabilized by strong anharmonicity effects, which preserve thermodynamic stability. The anharmonic effects demonstrate critical behaviour on scales larger than the Ginzburg scale. In particular, clean suspended flake of graphene shows a power-law increase of the bending rigidity with the system size,...

Topics: Disordered Systems and Neural Networks, Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1505.04483

44
44

Sep 22, 2013
09/13

by
P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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We consider the conductivity $\sigma_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $\sigma$-model including a topological term with $\theta=\pi$. As a consequence, the system is at a quantum critical point with a universal value of the conductivity of the order of $e^2/h$. When the effective time reversal symmetry is broken, the symmetry class becomes unitary, and...

Source: http://arxiv.org/abs/cond-mat/0702115v1

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73

Jul 20, 2013
07/13

by
P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder. We show that the transport properties of the system depend strongly on the character of disorder. Away from half filling, the concentration dependence of conductivity is linear in the case of strong scatterers, in line with recent experimental observations, and logarithmic for weak scatterers. At half filling the conductivity is of the order of e^2/h if the randomness preserves one...

Source: http://arxiv.org/abs/cond-mat/0609617v1

2
2.0

Jun 29, 2018
06/18

by
N. Kainaris; I. V. Gornyi; A. Levchenko; D. G. Polyakov

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We theoretically study Coulomb drag between two helical edges with broken spin-rotational symmetry, such as would occur in two capacitively coupled quantum spin Hall insulators. For the helical edges, Coulomb drag is particularly interesting because it specifically probes the inelastic interactions that break the conductance quantization for a single edge. Using the kinetic equation formalism, supplemented by bosonization, we find that the drag resistivity $\rho_D$ exhibits a nonmonotonic...

Topics: Mesoscale and Nanoscale Physics, Condensed Matter, Strongly Correlated Electrons

Source: http://arxiv.org/abs/1610.01100

94
94

Jul 20, 2013
07/13

by
T. Ludwig; I. V. Gornyi; A. D. Mirlin; P. Woelfle

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We consider the quantum corrections to the conductivity of fermions interacting via a Chern-Simons gauge field, and concentrate on the Hartree-type contributions. The first-order Hartree approximation is only valid in the limit of weak coupling \lambda to the gauge field, and results in an antilocalizing conductivity correction, \sim \lambda^2 g \ln^2 T (g is the conductance). In the case of strong coupling, an infinite summation of higher-order terms is necessary, including both the virtual...

Source: http://arxiv.org/abs/0804.2215v1

33
33

Sep 23, 2013
09/13

by
B. N. Narozhny; M. Titov; I. V. Gornyi; P. M. Ostrovsky

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We study the effect of Coulomb drag between two closely positioned graphene monolayers. In the limit of weak electron-electron interaction and small inter-layer spacing ($\mu_{1(2)}, T\ll v/d$) the drag is described by a universal function of the chemical potentials of the layers $\mu_{1(2)}$ measured in the units of temperature $T$. When both layers are tuned close to the Dirac point, then the drag coefficient is proportional to the product of the chemical potentials $\rho_D\propto\mu_1\mu_2$....

Source: http://arxiv.org/abs/1110.6359v2

59
59

Sep 18, 2013
09/13

by
A. Schuessler; P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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An analytic theory of electron transport in disordered graphene in a ballistic geometry is developed. We consider a sample of a large width W and analyze the evolution of the conductance, the shot noise, and the full statistics of the charge transfer with increasing length L, both at the Dirac point and at a finite gate voltage. The transfer matrix approach combined with the disorder perturbation theory and the renormalization group is used. We also discuss the crossover to the diffusive regime...

Source: http://arxiv.org/abs/0809.3782v1

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53

Jul 20, 2013
07/13

by
A. D. Mirlin; F. Evers; I. V. Gornyi; P. M. Ostrovsky

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The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. We focus on the character of criticality as well as on underlying symmetries and topologies that are crucial for understanding phase diagrams and the critical behavior.

Source: http://arxiv.org/abs/1007.0967v1

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2.0

Jun 30, 2018
06/18

by
N. Kainaris; I. V. Gornyi; S. T. Carr; A. D. Mirlin

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A quantum spin Hall insulator is a two-dimensional state of matter consisting of an insulating bulk and one-dimensional helical edge states. While these edge states are topologically protected against elastic backscattering in the presence of disorder, interaction-induced inelastic terms may yield a finite conductivity. By using a kinetic equation approach, we find the backscattering rate $\tau^{-1}$ and the semiclassical conductivity in the regimes of high ($\omega \gg \tau^{-1}$) and low...

Topics: Mesoscale and Nanoscale Physics, Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1404.3129

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28

Sep 23, 2013
09/13

by
A. Schuessler; P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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The full counting statistics of the charge transport through an undoped graphene sheet in the presence of smooth disorder is studied. At the Dirac point both in clean and diffusive limits, transport properties of a graphene sample are described by the universal Dorokhov distribution of transmission probabilities. In the crossover regime, deviations from universality occur which can be studied analytically both on ballistic and diffusive sides. In the ballistic regime, we use a diagrammatic...

Source: http://arxiv.org/abs/1006.1330v1

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36

Sep 21, 2013
09/13

by
M. Schuett; P. M. Ostrovsky; I. V. Gornyi; A. D. Mirlin

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We analyze the inelastic electron-electron scattering in undoped graphene within the Keldysh diagrammatic approach. We demonstrate that finite temperature strongly affects the screening properties of graphene, which, in turn, influences the inelastic scattering rates as compared to the zero-temperature case. Focussing on the clean regime, we calculate the quantum scattering rate which is relevant for dephasing of interference processes. We identify an hierarchy of regimes arising due to the...

Source: http://arxiv.org/abs/1011.5217v1

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3.0

Jun 30, 2018
06/18

by
B. N. Narozhny; I. V. Gornyi; A. D. Mirlin; J. Schmalian

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The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. In this paper we briefly review the recent advances, both theoretical and experimental, in the hydrodynamic approach to electronic transport in graphene, focusing on viscous phenomena, Coulomb drag, non-local transport measurements, and possibilities for observing nonlinear effects.

Topics: Physics, Condensed Matter, Fluid Dynamics, Strongly Correlated Electrons, Statistical Mechanics,...

Source: http://arxiv.org/abs/1704.03494

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35

Jul 20, 2013
07/13

by
D. A. Bagrets; I. V. Gornyi; A. D. Mirlin; D. G. Polyakov

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The Luttinger liquid model, which describes interacting electrons in a single-channel quantum wire, is completely integrable in the absence of disorder and as such does not exhibit any relaxation to equilibrium. We consider relaxation processes induced by inelastic electron-electron interactions in a disordered Luttinger liquid, focusing on the equilibration rate and its essential differences from the electron-electron scattering rate as well as the rate of phase relaxation. In the first part...

Source: http://arxiv.org/abs/0804.4887v1

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29

Sep 21, 2013
09/13

by
A. G. Yashenkin; I. V. Gornyi; A. D. Mirlin; D. G. Polyakov

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We study the influence of spin on the quantum interference of interacting electrons in a single-channel disordered quantum wire within the framework of the Luttinger liquid (LL) model. The nature of the electron interference in a spinful LL is particularly nontrivial because the elementary bosonic excitations that carry charge and spin propagate with different velocities. We extend the functional bosonization approach to treat the fermionic and bosonic degrees of freedom in a disordered spinful...

Source: http://arxiv.org/abs/0808.1093v1