Keldysh technique and non-linear σ-model: basic principles and applications

A Kamenev, A Levchenko - Advances in Physics, 2009 - Taylor & Francis
The purpose of this review is to provide a comprehensive pedagogical introduction into
Keldysh technique for interacting out-of-equilibrium fermionic and bosonic systems. The …

Transport properties of strongly coupled electron–phonon liquids

A Levchenko, J Schmalian - Annals of Physics, 2020 - Elsevier
In this work we consider the hydrodynamic behavior of a coupled electron–phonon fluid,
focusing on electronic transport under the conditions of strong phonon drag. This regime …

Measurement of counting statistics of electron transport in a tunnel junction

Y Bomze, G Gershon, D Shovkun, LS Levitov… - Physical review …, 2005 - APS
We present measurements of the time-dependent fluctuations of electrical current in a
voltage-biased tunnel junction. We were able to simultaneously extract the first three …

Cumulants and large deviations of the current through non-equilibrium steady states

T Bodineau, B Derrida - Comptes …, 2007 - comptes-rendus.academie-sciences …
Using a generalisation of detailed balance for systems maintained out of equilibrium by
contact with 2 reservoirs at unequal temperatures or at unequal densities, one can recover …

Energy transport in the Anderson insulator

DB Gutman, IV Protopopov, AL Burin, IV Gornyi… - Physical Review B, 2016 - APS
We study the heat conductivity in Anderson insulators in the presence of a power-law
interaction. Particle-hole excitations built on localized electron states are viewed as two …

Analytic theory of ballistic transport in disordered graphene

A Schuessler, PM Ostrovsky, IV Gornyi, AD Mirlin - Physical Review B …, 2009 - APS
An analytic theory of ballistic electron transport in disordered graphene in “short-and-wide”
geometry is developed. We consider a sample of a large width W and analyze the evolution …

Transport statistics of interacting double dot systems: Coherent and non-Markovian effects

G Schaller, G Kießlich, T Brandes - Physical Review B—Condensed Matter and …, 2009 - APS
We formalize the derivation of a generalized coarse-graining n-resolved master equation by
introducing a virtual detector counting the number of transferred charges in single-electron …

Signatures of critical full counting statistics in a quantum-dot chain

T Karzig, F von Oppen - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We consider current shot noise and the full counting statistics in a chain of quantum dots
which exhibits a continuous nonequilibrium phase transition as a function of the tunnel …

Full counting statistics of interacting electrons

DA Bagrets, Y Utsumi, DS Golubev… - Fortschritte der Physik …, 2006 - Wiley Online Library
In order to fully characterize the noise associated with electron transport, with its severe
consequences for solid‐state quantum information systems, the theory of full counting …

Full counting statistics of a Luttinger liquid conductor

DB Gutman, Y Gefen, AD Mirlin - Physical review letters, 2010 - APS
Nonequilibrium bosonization technique is used to study current fluctuations of interacting
electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor …