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The divergence of the thermal conductivity in the thermodynamic limit is thoroughly investigated. The divergence law is consistently determined with two different numerical approaches based on equilibrium and non-equilibrium simulations. A…

Statistical Mechanics · Physics 2009-10-31 Stefano Lepri , Roberto Livi , Antonio Politi

We present large scale simulations for a one-dimensional chain of hard-point particles with alternating masses. We correct several claims in the recent literature based on much smaller simulations. Both for boundary conditions with two heat…

Chaotic Dynamics · Physics 2009-11-07 Peter Grassberger , Walter Nadler , Lei Yang

We display an interesting sum rule for the dynamical thermal conductivity for many standard models of condensed matter in terms of the expectation of a thermal operator. We present the thermal operator for several model systems of current…

Strongly Correlated Electrons · Physics 2009-11-11 B Sriram Shastry

A detailed investigation of the non-equilibrium steady-state electric and thermoelectric transport properties of a quantum dot coupled to the normal metallic and s-wave superconducting reservoirs (N-QD-S) are provided within the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2022-02-22 Sachin Verma , Ajay

We study the 1D Kitaev chain with long range superconductive pairing terms at a finite temperature where the system is prepared in a mixed state in equilibrium with a heat reservoir maintained at a constant temperature $T$. In order to…

Statistical Mechanics · Physics 2018-06-20 Utso Bhattacharya , Amit Dutta

The description of thermal or non-equilibrium systems necessitates a quantum field theory which differs from the usual approach in two aspects: 1.The Hilbert space is doubled; 2.Stable quasi-particles do not exist in interacting systems. A…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. A. Henning

A heat engine undergoes a cyclic operation while in equilibrium with the net result of conversion of heat into work. Quantum effects such as superposition of states can improve an engine's efficiency by breaking detailed balance, but this…

Quantum Physics · Physics 2013-03-07 Sahand Hormoz

We disclose a serious deficiency of the Baym-Kadanoff construction of thermodynamically consistent conserving approximations. There are two vertices in this scheme: dynamical and conserving. The divergence of each indicates a phase…

Strongly Correlated Electrons · Physics 2024-12-24 Václav Janiš , Vladislav Pokorný , Šimon Kos

We investigate the steady-state transport characteristics of a quantum dot system consisting of a single energy level embedded between two reservoirs under the influence of both the temperature gradient and bias voltage. Within tailored…

Mesoscale and Nanoscale Physics · Physics 2024-08-16 Yanchao Zhang , Xiaolong Lü

Certain classes of strongly correlated systems promise high thermopower efficiency, but a full understanding of correlation effects on the Seebeck coefficient is lacking. This is partly due to limitations of Boltzmann-type approaches. One…

Strongly Correlated Electrons · Physics 2020-12-15 R. Nourafkan , A. -M. S. Tremblay

Conduction of electrons in matter is ultimately described by quantum mechanics. Yet at low frequency or long time scales, low temperature quantum transport is perfectly described by this very simple idea: electrons are emitted by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Karl Thibault , Julien Gabelli , Christian Lupien , Bertrand Reulet

The adiabatic theorem is a fundamental result established in the early days of quantum mechanics, which states that a system can be kept arbitrarily close to the instantaneous ground state of its Hamiltonian if the latter varies in time…

Quantum Gases · Physics 2022-06-01 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

The thermodynamic properties of superconducting electrons are usually studied by means of the quasi-particles distribution; but in this approach, the ground state energy and the dependence of the chemical potential on the electron density…

Superconductivity · Physics 2017-06-09 Enore Guadagnini

We study the thermoelectric transport through a single-level quantum dot (QD) coupled to two normal metallic leads and side-coupled to Majorana bound state (MBS). The Coulomb interaction in QD is considered. To investigate only the…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Chol Won Ri , Kum Hyok Jong , Song Jin Im , Hak Chol Pak

We examine the non-extensive approach to the statistical mechanics of Hamiltonian systems with $H=T+V$ where $T$ is the classical kinetic energy. Our analysis starts from the basics of the formalism by applying the standard variational…

Statistical Mechanics · Physics 2015-05-28 J. F. Lutsko , J. P. Boon

Self-organization and nonequilibrium phase transitions are well known to occur in two- and three- dimensional dissipative systems. Here, instead, we provide numerical evidence that these phenomena also occur in a one-dimensional Hamiltonian…

Statistical Mechanics · Physics 2017-01-31 Jiao Wang , Giulio Casati

We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction…

The theory of deconfined quantum critical points describes phase transitions at temperature T = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory requires…

Strongly Correlated Electrons · Physics 2016-04-28 Hui Shao , Wenan Guo , Anders W. Sandvik

This work extends the seminal work of Gottfried on the two-body quantum physics of particles interacting through a delta-shell potential to many-body physics by studying a system of non-relativistic particles when the thermal De-Broglie…

Nuclear Theory · Physics 2013-11-13 Sergey Postnikov , Madappa Prakash

Standard approximations for the exchange-correlation functional are known to deviate from linear dependence of the energy on the electron and spin numbers (in -space). Violation of this flat-plane condition underlies the failure of all…

Classical Physics · Physics 2013-10-28 Ali M. Malek , Robert Balawender