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We study the evolution of a system of free fermions in one dimension under the simultaneous effects of coherent tunneling and stochastic Markovian noise. We identify a class of noise terms where a hierarchy of decoupled equations for the…

Statistical Mechanics · Physics 2015-05-27 Viktor Eisler

Transport properties play a crucial role in defining materials as insulators, metals, or superconductors. A fundamental parameter in this regard is the Drude weight, which quantify the ballistic transport of charge carriers. In this work,…

We establish a general connection between ballistic and diffusive transport in systems where the ballistic contribution in canonical ensemble vanishes. A lower bound on the Green-Kubo diffusion constant is derived in terms of the curvature…

Statistical Mechanics · Physics 2017-08-29 Marko Medenjak , Christoph Karrasch , Tomaz Prosen

Quantum transport of strongly correlated fermions is of central interest in condensed matter physics. Here, we present first-principle nonequilibrium Green functions results using $T$-matrix selfenergies for finite Hubbard clusters of…

Quantum Gases · Physics 2016-01-15 N. Schlünzen , S. Hermanns , M. Bonitz , C. Verdozzi

Spin and charge transport through a quantum dot coupled to external nonmagnetic leads is analyzed theoretically in terms of the non-equilibrium Green function formalism based on the equation of motion method. The dot is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. Swirkowicz , J. Barnas , M. Wilczynski

The Drude weight (DW) is an essential quantity that characterizes the quantum transport properties of many-body systems. However, a rigorous understanding and exact computation of DWs, particularly for strongly correlated systems with…

Strongly Correlated Electrons · Physics 2025-12-29 Jia-Jia Luo , Sagarika Basak , Han Pu , Xi-Wen Guan

We consider energy (heat) transport in quantum systems, and establish a relationship between energy spread and energy current-current correlation function. The energy current-current correlation is related to thermal conductivity by the…

Statistical Mechanics · Physics 2015-06-22 Yonghong Yan , Feng Jiang , Hui Zhao

Owing to the fact that the particle current operator in non-relativistic gases is proportional to the total momentum operator, the particle transport in such systems is always ballistic and fully characterized by a Drude weight $\Delta$.…

Quantum Gases · Physics 2025-12-23 Frank Göhmann , Andreas Klümper , Karol K. Kozlowski

We study quantum transport in disordered systems with particle-hole symmetric Hamiltonians. The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the resulting massless mode is treated in a…

Disordered Systems and Neural Networks · Physics 2021-09-09 Ipsita Mandal , Klaus Ziegler

This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Horia D. Cornean , G. Nenciu , Thomas G. Pedersen

As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or…

Condensed Matter · Physics 2007-05-23 M. Sassetti , H. Schomerus , U. Weiss

Electron transport characteristics are investigated through some molecular chains attached to two non-superconducting electrodes by the use of Green's function method. Here we do parametric calculations based on the tight-binding…

Mesoscale and Nanoscale Physics · Physics 2009-07-31 Santanu K. Maiti

In this paper we have calculated electron transport coefficient in ballistic regime through a periodic dot sandwiched between uniform leads. We have calculated the Green's function (GF), density of states (Dos) and the coherent transmission…

Materials Science · Physics 2016-08-31 Mohammad Mardaani , Keivan Esfarjani

The Drude weight characterizes ballistic transport in quantum many-body systems, yet a comprehensive understanding and exact analytical results for it remain elusive, especially in multi-component quantum gases. In this work, we leverage…

Quantum Gases · Physics 2026-02-26 Zi-yang Liu , Xiangguo Yin , Yunbo Zhang , Shizhong Zhang , Xi-Wen Guan

We study the transport properties of one-dimensional (1D) interacting Fermions through a barrier by numerically calculating the Kohn charge stiffness constant and the relative Drude weight. We find that the transport properties of the 1D…

Condensed Matter · Physics 2009-10-22 Q. P. Li , X. C. Xie

We generalize the two-channel (Edwards) fermion-boson model describing quantum transport in a background medium to the more realistic case of dispersive bosons. Using the variational exact diagonalization technique, we numerically solve the…

Quantum Gases · Physics 2024-04-11 Monodeep Chakraborty , Holger Fehske

For electron transport in parallel-plane semiconducting structures, a model is developed that unifies ballistic and diffusive transport and thus generalizes the Drude model. The unified model is valid for arbitrary magnitude of the mean…

Materials Science · Physics 2009-11-07 R. Lipperheide , T. Weis , U. Wille

Effects of the propagation of particles, which have a finite life-time and an according width in their mass spectrum, are discussed in the context of transport description. First, the importance of coherence effects…

Nuclear Theory · Physics 2009-09-25 Yu. B. Ivanov , J. Knoll , H. van Hees , D. N. Voskresensky

The frequency dependent transport is investigated for a two-dimensional disordered system under QHE conditions. The real and imaginary parts of the conductivity are calculated numerically in linear response using a recursive Green function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Bäker , L. Schweitzer

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti
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