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- Igor V Gornyi, Alexander D. Mirlin, D . G . Polyakov
- Physical review letters
- 2005

We study the conductivity sigma(T) of interacting electrons in a low-dimensional disordered system at low temperature T. 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… (More)

We study statistical properties of the ensemble of large N × N random matrices whose entries Hij decrease in a power-law fashion Hij ∼ |i − j|−α. Mapping the problem onto a nonlinear σ−model with non-local interaction, we find a transition from localized to extended states at α = 1. At this critical value of α the system exhibits multifractality and… (More)

The random banded matrices (RBM) whose diagonal elements fluctuate much stronger than the off-diagonal ones were introduced recently by Shepelyansky as a convenient model for coherent propagation of two interacting particles in a random potential. We treat the problem analytically by using the mapping onto the same supersymmetric nonlinear σ−model that… (More)

- Igor S. Burmistrov, Igor V Gornyi, Alexander D. Mirlin
- Physical review letters
- 2012

The influence of disorder on the temperature of superconducting transition (T{c}) is studied within the σ-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… (More)

The article reviews recent developments in the theory of fluctuations and correlations of energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various spatial geometries are considered, with emphasis on low-dimensional (quasi-1D and 2D) systems. Calculations are based on the supermatrix σ-model approach. The method reproduces, in… (More)

I. A. Dmitriev,1,* M. G. Vavilov,2 I. L. Aleiner,3 A. D. Mirlin,1,4,† and D. G. Polyakov1,* 1Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany 2Center for Materials Sciences and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 3Physics Department, Columbia University, New York, New… (More)

- M. Titov, Roman V Gorbachev, +9 authors Leonid A Ponomarenko
- Physical review letters
- 2013

We report experimental data and theoretical analysis of Coulomb drag between two closely positioned graphene monolayers in a weak magnetic field. Close enough to the neutrality point, the coexistence of electrons and holes in each layer leads to a dramatic increase of the drag resistivity. Away from charge neutrality, we observe nonzero Hall drag. The… (More)

- I . A . Dmitriev, Alexander D. Mirlin, D . G . Polyakov
- Physical review letters
- 2003

The frequency-dependent conductivity sigma(xx)(omega) of 2D electrons subjected to a transverse magnetic field and smooth disorder is calculated. The interplay of Landau quantization and disorder scattering gives rise to an oscillatory structure that survives in the high-temperature limit. The relation to recent experiments on photoconductivity by Zudov et… (More)

- Arijit Saha, Jie Liu, +7 authors Reinhold Egger
- 2013

Recent observation of zero bias conductance peaks in semiconductor wire/superconductor heterostructures has generated great interest, and it is in hot debate if the observation is associated with Majorana fermions (MFs). Here we study the local and crossed Andreev reflections in a junction of two normal leads and a sand wiched superconductor semiconductor… (More)

- Alexander D. Mirlin, D . G . Polyakov, Ferdinand Evers, Peter Woelfle
- Physical review letters
- 2001

We study the quasiclassical magnetotransport of noninteracting fermions in two dimensions moving in a random array of strong scatterers (antidots, impurities, or defects) on the background of a smooth random potential. We demonstrate that the combination of the two types of disorder induces a novel mechanism leading to a strong negative magnetoresistance,… (More)