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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…

统计力学 · 物理学 2017-10-13 Mihail Mintchev , Luca Santoni , Paul Sorba

Quantum criticality provides an important route to revealing universal non-equilibrium behaviour. A canonical example of a quantum critical point is the Bose-Hubbard model, which we study under the application of an electric field. A…

强关联电子 · 物理学 2015-06-18 A. M. Berridge , A. G. Green

We propose and investigate an exactly solvable model of non-equilibrium Luttinger liquid on a star graph, modeling a multi-terminal quantum wire junction. The boundary condition at the junction is fixed by an orthogonal matrix S, which…

数学物理 · 物理学 2013-02-22 Mihail Mintchev , Paul Sorba

We introduce a model for charge and heat transport based on the Landauer-Buttiker scattering approach. The system consists of a chain of $N$ quantum dots, each of them being coupled to a particle reservoir. Additionally, the left and right…

介观与纳米尺度物理 · 物理学 2009-03-19 Philippe A. Jacquet

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…

数学物理 · 物理学 2011-09-23 Mihail Mintchev

We study particle current and occupation distribution in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (mesoreservoir) is driven out of equilibrium by the action of…

介观与纳米尺度物理 · 物理学 2016-04-26 Shigeru Ajisaka , Felipe Barra

We give a method of describing thermodynamical transport phenomena, based on a quantum scattering theoretical approach. We consider a quantum system of particles connected to thermodynamical reservoirs by leads. The effects of the…

凝聚态物理 · 物理学 2007-05-23 Tooru Taniguchi

We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is…

统计力学 · 物理学 2022-05-03 Mihail Mintchev

We analyze charge-$e/4$ quasiparticle tunneling between the edges of a point contact in a non-Abelian model of the $\nu=5/2$ quantum Hall state. We map this problem to resonant tunneling between attractive Luttinger liquids and use the…

介观与纳米尺度物理 · 物理学 2009-11-13 Adrian Feiguin , Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We study a steady state non-equilibrium transport between two interacting helical edge states of a two dimensional topological insulator, described by helical Luttinger liquids, through a quantum dot. For non-interacting dot the current is…

强关联电子 · 物理学 2013-09-02 Sung-Po Chao , Salman A. Silotri , Chung-Hou Chung

In this short paper we first give a very simple derivation of the Landauer formula for a 2-point conductance of QJ $G^{2P}$, based on the uncertainty principle. The aim of this is to introduce this central equation of quantum transport to a…

材料科学 · 物理学 2007-05-23 P. Bokes

For chaotic cavities with scattering leads attached, transport properties can be approximated in terms of the classical trajectories which enter and exit the system. With a semiclassical treatment involving fine correlations between such…

混沌动力学 · 物理学 2015-05-20 Gregory Berkolaiko , Jack Kuipers

We present a method for investigating the steady-state transport properties of one-dimensional correlated quantum systems. Using a procedure based on our analysis of finite-size effects in a related classical model (LC line) we show that…

强关联电子 · 物理学 2012-06-28 M. Einhellinger , A. Cojuhovschi , E. Jeckelmann

Non-equilibrium quantum transport is crucial to technological advances ranging from nanoelectronics to thermal management. In essence, it deals with the coherent transfer of energy and (quasi-)particles through quantum channels between…

We derive the transport properties of a quantum dot subject to a source-drain bias voltage at zero temperature and magnetic field. Using the Scattering Bethe Anstaz, a generalization of the traditional Thermodynamic Bethe Ansatz to open…

强关联电子 · 物理学 2015-03-13 Sung-Po Chao , Guillaume Palacios

We investigate non-equilibrium particle transport in the system consisting of a geometric scatterer and two leads coupled to heat baths with different chemical potentials. We derive expression for the corresponding current the carriers of…

数学物理 · 物理学 2019-12-10 Pavel Exner , Hagen Neidhardt , Milos Tater , Valentin A. Zagrebnov

An experimental study of current fluctuations through a tunable transmission barrier, a quantum point contact, are reported. We measure the probability distribution function of transmitted charge with precision sufficient to extract the…

介观与纳米尺度物理 · 物理学 2009-11-13 G. Gershon , Yu. Bomze , E. V. Sukhorukov , M. Reznikov

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

介观与纳米尺度物理 · 物理学 2018-04-05 Nobuhiko Taniguchi

We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We…

统计力学 · 物理学 2020-01-22 Jason Myers , M. J. Bhaseen , Rosemary J. Harris , Benjamin Doyon

We present non-perturbative solutions for multi-level quantum dot structures coupled to interacting one-dimensional electrodes out of equilibrium. At a special correlation strength the Hamiltonian can be mapped to the Kondo problem which…

强关联电子 · 物理学 2009-11-10 A. Komnik , A. O. Gogolin
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