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We study energy transport in XXZ spin chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries. We discuss the transition between diffusive and subdiffusive transport regimes in…

Disordered Systems and Neural Networks · Physics 2019-03-25 Juan Jose Mendoza-Arenas , Marko Znidaric , Vipin Kerala Varma , John Goold , Stephen R. Clark , Antonello Scardicchio

This work presents a computational study of charge hopping dynamics along a one dimensional chain with Gaussian site energy disorder and linearly coupled quantum bath. Time dependent square displacements are calculated directly from…

Materials Science · Physics 2026-01-06 Seogjoo J. Jang , Andres Montoya-Castillo

In the paper we apply asymptotic technique based on the method of stationary phase and obtain the approximate analytical description of thermal motions caused by a source on an isotopic defect of an arbitrary mass in a 1D harmonic crystal.…

Statistical Mechanics · Physics 2025-12-17 Ekaterina V. Shishkina , Serge N. Gavrilov

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…

Strongly Correlated Electrons · Physics 2015-03-13 Sung-Po Chao , Guillaume Palacios

We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi--Pasta--Ulam (FPU) lattices. The growth of the instability is followed by a process of relaxation to…

Pattern Formation and Solitons · Physics 2015-04-08 Thierry Dauxois , R. Khomeriki , S. Ruffo

We study the electronic transport in the lowest Landau level of disordered two-dimensional semimetals placed in a homogeneous perpendicular magnetic field. The material system is modeled by the Bernevig-Hughes-Zhang Hamiltonian, which has…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Andreas Sinner , Gregor Tkachov

Single-particle transport in disordered potentials is investigated on scales below the localization length. The dynamics on those scales is concretely analyzed for the 3-dimensional Anderson model with Gaussian on-site disorder. This…

Statistical Mechanics · Physics 2010-11-05 Robin Steinigeweg , Hendrik Niemeyer , Jochen Gemmer

We study energy transport in the integrable $\mathbb Z_3$ parafermionic chain using the partitioning protocol. By exploiting the Bethe-ansatz solution for the thermodynamics of the system, we develop a generalized hydrodynamic description…

Strongly Correlated Electrons · Physics 2018-08-29 Leonardo Mazza , Jacopo Viti , Matteo Carrega , Davide Rossini , Andrea De Luca

We study the exchange of energy between the modes of the optical branch and those of the acoustic one in a diatomic chain of particles, with masses $m_1$ and $m_2$. We prove that, at small temperature and provided $m_1\gg m_2$, for the…

Mathematical Physics · Physics 2019-03-27 Alberto Mario Maiocchi

We investigate the power dissipated by an electronic current flowing through a quantum point contact in a two-dimensional electron gas. Based on the Landauer-B\"uttiker approach to quantum transport, we evaluate the power that is dissipated…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Carmen Blaas-Anselmi , Félix Helluin , Rodolfo A. Jalabert , Guillaume Weick , Dietmar Weinmann

We study the voltage drop along three-terminal disordered wires in all transport regimes, from the ballistic to the localized regime. This is performed by measuring the voltage drop on one side of a one-dimensional disordered wire in a…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 A. M. Martínez-Argüello , J. A. Méndez-Bermúdez , M. Martínez-Mares

Dissipation is a common occurrence in real-world systems and is generally considered to be detrimental to transport. In this study, we examine the transport properties of a narrow quantum anomalous Hall system with dissipation applied on…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Ming Lu , Xue-Zhu Liu , Hailong Li , Zhi-Qiang Zhang , Jie Liu , X. C. Xie

We investigate energy transport in several two-level atom or spin-1/2 models by a direct coupling to heat baths of different temperatures. The analysis is carried out on the basis of a recently derived quantum master equation which…

Quantum Physics · Physics 2009-11-13 Mathias Michel , Ortwin Hess , Hannu Wichterich , Jochen Gemmer

We study the disordered Heisenberg spin chain, which exhibits many body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational…

Disordered Systems and Neural Networks · Physics 2016-06-22 Ilia Khait , Snir Gazit , Norman Y. Yao , Assa Auerbach

We theoretically study the efficiency of energy harvesting in linear exciton chains with an energy bias, where the initial excitation is taking place at the high-energy end of the chain and the energy is harvested (trapped) at the other…

Disordered Systems and Neural Networks · Physics 2007-10-21 S. M. Vlaming , V. A. Malyshev , J. Knoester

The Alpha version of the Fermi-Pasta-Ulam problem is revisited through direct numerical simulations and an application of weak turbulence theory. The energy spectrum, initialized with a large scale excitation, is traced through a series of…

Chaotic Dynamics · Physics 2007-05-23 Joseph A. Biello , Peter R. Kramer , Yury Lvov

We investigate the long time behavior of a wavepacket initially localized at a single site $n_0$ in translationally invariant harmonic and anharmonic chains with random interactions. In the harmonic case, the energy profile $ \bar{<…

Disordered Systems and Neural Networks · Physics 2010-11-10 S. Lepri , R. Schilling , S. Aubry

The linear response to temperature variations is well characterised for equilibrium systems but a similar theory is not available, for example, for inertial heat conducting systems, whose paradigm is the Fermi-Pasta-Ulam (FPU) model driven…

Statistical Mechanics · Physics 2018-02-09 Federico D'Ambrosio , Marco Baiesi

The recently discovered phenomenon of nonlinear supratransmission consists in a sudden increase of the amplitude of a transmitted wave triggered by the excitation of nonlinear localized modes of the medium. We examine this process for the…

Statistical Mechanics · Physics 2016-08-31 Ramaz Khomeriki , Stefano Lepri , Stefano Ruffo

The evolution of electronic wave packets (WPs) through grain boundaries (GBs) of various structures in graphene was investigated by the numerical solution of the time-dependent Schroedinger equation. WPs were injected from a simulated STM…

Mesoscale and Nanoscale Physics · Physics 2013-08-12 Péter Vancsó , Géza I. Márk , Philippe Lambin , Alexandre Mayer , Yong-Sung Kim , Chanyong Hwang , László P. Biró