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We construct a scattering theory of weakly nonlinear thermoelectric transport through sub-micron scale conductors. The theory incorporates the leading nonlinear contributions in temperature and voltage biases to the charge and heat…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Jonathan Meair , Philippe Jacquod

We derive detailed and intergral fluctuation relations as well as a Thermodynamic Uncertainty Relation constraining the exchange statistics of an arbitrary number of non-commuting conserved quantities among two quantum systems in transport…

Quantum Physics · Physics 2026-04-23 Matteo Scandi , Gonzalo Manzano

We study a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single-channel spinless Tomonaga-Luttinger liquids. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in…

Strongly Correlated Electrons · Physics 2011-02-16 Masaki Oshikawa , Claudio Chamon , Ian Affleck

We discuss the energy current and the energy fluctuations in an isolated quantum wire driven far from equilibrium. The system consists of interacting spinless fermions and is driven by a time--dependent magnetic flux. The energy current is…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Dawid Crivelli , Marcin Mierzejewski , Peter Prelovšek

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , G. B. Lesovik

We analyze the full counting statistics (FCS) of a single-site quantum dot coupled to a local Holstein phonon for arbitrary transmission and weak electron-phonon coupling. We identify explicitly the contributions due to quasielastic and…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 T. L. Schmidt , A. Komnik

In this paper, we show that a nonequilibrium steady state (NESS) exists at late times in open quantum systems with weak nonlinearity by following its nonequilibrium dynamics with a perturbative analysis. Here we consider an oscillator chain…

Quantum Physics · Physics 2020-09-14 Jing Yang , Jen-Tsung Hsiang , Andrew N. Jordan , B. L. Hu

Quantum transport in the presence of time-dependent drives is dominated by quantum interference and many-body effects at low temperatures. For a periodic driving, the analysis of the full counting statistics revealed the elementary events…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Matthias Hübler , Wolfgang Belzig

The transport and gain properties of quantum cascade (QC) structures are investigated using a nonequilibrium Green's function (NGF) theory which includes quantum effects beyond a Boltzmann transport description. In the NGF theory, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. -C. Lee , A. Wacker

Where, and how, does energy dissipation of electrical energy take place in a ballistic wire? Fully two decades after the advent of the transmissive phenomenology of electrical conductance, this deceptively simple query remains unanswered.…

Mesoscale and Nanoscale Physics · Physics 2009-01-06 Mukunda P. Das , Frederick Green

We describe the thermal and electrical conductivities of quasi-one dimensional wires, across a quantum phase transition from a superconductor to a metal induced by pairbreaking perturbations. Fluctuation corrections to BCS theory motivate a…

Superconductivity · Physics 2008-05-09 Adrian del Maestro , Bernd Rosenow , Nayana Shah , Subir Sachdev

We analyze the effect of electron-phonon coupling on the full counting statistics of a molecular junction beyond the lowest order perturbation theory. Our approach allows to take into account analytically the feedback between the…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 D. F. Urban , R. Avriller , A. Levy Yeyati

We expand iterative numerically-exact influence functional path-integral tools and present a method capable of following the nonequilibrium time evolution of subsystems coupled to multiple bosonic and fermionic reservoirs simultaneously.…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Lena Simine , Dvira Segal

We study the metal-insulator transition in a very general two-channel transport model, where charge carriers are coupled to a correlated background medium. The fluctuations of the background were described as bosonic excitations, having the…

Strongly Correlated Electrons · Physics 2015-05-18 S. Sykora , K. W. Becker , H. Fehske

We present a formulation of a nonequilibrium Green's function method for thermal current in nanojunction atomic systems with nonlinear interactions. This first-principle approach is applied to the calculation of the thermal conductance in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Sheng Wang , Jian Wang , Nan Zeng

Non-equilibrium steady states of quantum fields on star graphs are explicitly constructed. These states are parametrized by the temperature and the chemical potential, associated with each edge of the graph. Time reversal invariance is…

Mathematical Physics · Physics 2011-09-23 Mihail Mintchev

Quantum transport through devices coupled to electron reservoirs can be described in terms of the full counting statistics (FCS) of charge transfer. Transport observables, such as conductance and shot-noise power are just cumulants of FCS…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 M I Sena-Junior , A M S Macêdo

We investigate the particle and heat transport in quantum junctions with the geometry of star graphs. The system is in a nonequilibrium steady state, characterized by the different temperatures and chemical potentials of the heat reservoirs…

Statistical Mechanics · Physics 2017-10-13 Mihail Mintchev , Luca Santoni , Paul Sorba

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

Non-coherent electronic transport in metallic nanowires exhibits different carrier temperatures for the non-equilibrium forward and backward populations in the presence of electric fields. Depending on the mean free path that characterizes…

Mesoscale and Nanoscale Physics · Physics 2009-03-17 Marcelo Kuroda , Jean-Pierre Leburton
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