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Numerically "exact" methods addressing the dynamics of coupled electron--phonon systems have been intensively developed. Nevertheless, the corresponding results for the electron mobility $\mu_\mathrm{dc}$ are scarce, even for the…

强关联电子 · 物理学 2023-09-12 Veljko Janković

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift…

介观与纳米尺度物理 · 物理学 2009-10-31 A. Wacker , A. -P. Jauho , S. Rott , A. Markus , P. Binder , G. H. D"ohler

Quantum transport in disordered systems is studied using a polaron-based master equation. The polaron approach is capable of bridging the results from the coherent band-like transport regime governed by the Redfield equation to incoherent…

介观与纳米尺度物理 · 物理学 2016-05-11 Chee Kong Lee , Jeremy Moix , Jianshu Cao

We present an extension of the work of D'Amato and Pastawski on electron transport in a one-dimensional conductor modeled by the tight binding lattice Hamiltonian and in which inelastic scattering is incorporated by connecting each site of…

介观与纳米尺度物理 · 物理学 2009-11-11 Dibyendu Roy , Abhishek Dhar

Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real…

The role of noise in the transport properties of quantum excitations is a topic of great importance in many fields, from organic semiconductors for technological applications to light-harvesting complexes in photosynthesis. In this paper we…

量子物理 · 物理学 2016-11-22 Stefano Iubini , Octavi Boada , Yasser Omar , Francesco Piazza

We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schroedinger equation. We explicitly renounce on any other…

统计力学 · 物理学 2007-05-23 Robin Steinigeweg , Jochen Gemmer , Mathias Michel

We investigate the transport properties of the Holstein model using the numerically exact quantum typicality (QT) approach. Roughly speaking, QT exploits the fact that even a single, randomly chosen pure state can effectively represent the…

强关联电子 · 物理学 2025-05-20 Petar Mitrić

The Boltzmann equation for inelastic and rough hard spheres is considered as a model of a dilute granular gas. In this model, the collisions are characterized by constant coefficients of normal and tangential restitution and hence the…

统计力学 · 物理学 2014-09-03 Gilberto M. Kremer , Andrés Santos , Vicente Garzó

The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the…

量子气体 · 物理学 2022-08-30 Philip Zechmann , Alvise Bastianello , Michael Knap

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

介观与纳米尺度物理 · 物理学 2013-08-09 Christian Wickles , Wolfgang Belzig

Elucidating transport mechanisms and predicting transport coefficients is crucial for advancing material innovation, design, and application. Yet, state-of-the-art calculations are restricted to exact simulations of small lattices with…

化学物理 · 物理学 2024-05-16 Srijan Bhattacharyya , Thomas Sayer , Andrés Montoya-Castillo

The Holstein model is a benchmark model of systems with electron-phonon interaction. However, its electrical transport properties are not yet fully understood. In this work, we performed numerically exact calculations of imaginary-time…

其他凝聚态物理 · 物理学 2025-09-03 Suzana Miladić , Nenad Vukmirović

We study the finite-temperature transport of electrons coupled to anharmonic local phonons. Our focus is on the high-temperature incoherent regime, where controlled calculations are possible both for weak and strong electron--phonon…

强关联电子 · 物理学 2021-10-22 Attila Szabó , S. A. Parameswaran , Sarang Gopalakrishnan

In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions…

统计力学 · 物理学 2007-05-23 S. F. Liotta , A. Majorana

The Boltzmann equation for d-dimensional inelastic Maxwell models is considered to analyze transport properties in spatially inhomogeneous states close to the simple shear flow. A normal solution is obtained via a Chapman--Enskog--like…

统计力学 · 物理学 2009-11-13 Vicente Garzo

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

强关联电子 · 物理学 2007-05-23 X. Zotos , P. Prelovsek

We developed a theory of charge transport in a system of non-interacting polarons. The theory was conducted to a compact relation through a nonperturbative method based on electron-phonon Hamiltonian. The derived final result represents…

其他凝聚态物理 · 物理学 2012-03-15 F. Marsusi , J. Sabbaghzadeh

Building on the recent success of a quantum-classical method for computing transport properties in the Holstein model with a single phonon mode [P. Mitri\'c et al., Phys. Rev. B ${\bf 111}$, L161105 (2025)], we now assess its reliability in…

强关联电子 · 物理学 2026-04-08 Darko Tanasković , Maksim Makrushin , Petar Mitrić

Traditional theories of electron transport in crystals are based on the Boltzmann equation and do not capture physics arising from quantum coherence. We introduce a transport formalism based on ''orbital Wigner functions'', which accurately…

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