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We study high-temperature spin transport through an anisotropic spin-1/2 Heisenberg chain in which integrability is broken by a single impurity close to the center of the chain. For a finite impurity strength, the level spacing statistics…

Strongly Correlated Electrons · Physics 2018-12-24 Marlon Brenes , Eduardo Mascarenhas , Marcos Rigol , John Goold

We study magnetization transport in anisotropic spin-$1/2$ chains governed by the integrable XXZ model with and without integrability-breaking perturbations at high temperatures ($T\to \infty$) using a hybrid approach that combines exact…

Strongly Correlated Electrons · Physics 2018-08-17 Ramsés J. Sánchez , Vipin Kerala Varma , Vadim Oganesyan

For a class of typical states, the real-time and real-space dynamics of non-equilibrium density profiles has been recently studied for integrable models, i.e. the spin-1/2 XXZ chain [PRB 95, 035155 (2017)] and the Fermi-Hubbard chain [PRE…

Strongly Correlated Electrons · Physics 2018-05-31 Jonas Richter , Fengping Jin , Hans De Raedt , Kristel Michielsen , Jochen Gemmer , Robin Steinigeweg

We use microscopic linear response theory to derive a set of equations that provide a complete description of coupled spin and charge diffusive transport in a two-dimensional electron gas (2DEG) with the Rashba spin-orbit (SO) interaction.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Alvaro S. Nunez , A. H. MacDonald

The laws of thermodynamics require any initial macroscopic inhomogeneity in extended many-body systems to be smoothed out by the time evolution through the activation of transport processes. In generic, non-integrable quantum systems,…

Statistical Mechanics · Physics 2019-06-24 Paolo Pietro Mazza , Gabriele Perfetto , Alessio Lerose , Mario Collura , Andrea Gambassi

After reviewing the main features of anomalous energy transport in 1D systems, we report simulations performed with chains of noisy anharmonic oscillators. The stochastic terms are added in such a way to conserve total energy and momentum,…

Statistical Mechanics · Physics 2008-01-25 G. Basile , L. Delfini , S. Lepri , R. Livi , S. Olla , A. Politi

The problem of spin diffusion is studied numerically in one-dimensional classical Heisenberg model using a deterministic odd even spin precession dynamics. We demonstrate that spin diffusion in this model, like energy diffusion, is normal…

Statistical Mechanics · Physics 2015-06-12 Debarshee Bagchi

Spin transport properties of a spin-polarized two-dimensional electron gas are studied in the presence of electron-electron interactions. Longitudinal and transverse spin diffusion coefficients are calculated with the quantum transport…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yutaka Takahashi , Kosuke Shizume , Naoto Masuhara

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

Motivated by cold-atom experiments and a desire to understand far-from-equilibrium quantum transport, we analytically study the dynamics of spin helices in the one-dimensional $XX$ model. We use a Jordan-Wigner transformation to map the…

Strongly Correlated Electrons · Physics 2022-10-21 Darren Pereira , Erich J. Mueller

Magnetization transport in a one-dimensional isotropic spin 1/2 Heisenberg model is studied. It is shown that in a nonequilibrium steady state at high temperature and constant small driving the magnetization current depends on the system…

Strongly Correlated Electrons · Physics 2012-03-05 Marko Znidaric

The transport of spin information has been studied in various materials, such as metals, semiconductors and graphene. In these materials, spin is transported by diffusion of conduction electrons. Here we study the diffusion and relaxation…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 L. J. Cornelissen , J. Liu , R. A. Duine , J. Ben Youssef , B. J. Van Wees

A nonlocal electric response in the spin-Hall regime, resulting from spin diffusion mediating charge conduction, is predicted. The spin-mediated transport stands out due to its long-range character, and can give dominant contribution to…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. A. Abanin , A. V. Shytov , L. S. Levitov , B. I. Halperin

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

This review summarizes recent advances in our understanding of anomalous transport in spin chains, viewed through the lens of integrability. Numerical advances, based on tensor-network methods, have shown that transport in many canonical…

Statistical Mechanics · Physics 2021-08-23 Vir B. Bulchandani , Sarang Gopalakrishnan , Enej Ilievski

We study spin transport in a Hubbard chain with strong, random, on--site potential and with spin--dependent hopping integrals, $t_{\sigma}$. For the the SU(2) symmetric case, $t_{\uparrow} =t_{\downarrow}$, such model exhibits only partial…

Strongly Correlated Electrons · Physics 2019-05-15 M. Sroda , P. Prelovsek , M. Mierzejewski

We introduce a computational framework for first-principles density matrix transport within the Wigner function formalism to predict transport of quantum-mechanical degrees of freedom such as spin over long time and length scales. This…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Mayada Fadel , Joshua Quinton , Mani Chandra , Mayank Gupta , Yuan Ping , Ravishankar Sundararaman

Motivated by potential applications in spintronics, we study frequency dependent spin transport in nonitinerant one-dimensional spin chains. We propose a system that behaves as a capacitor for the spin degree of freedom. It consists of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Kevin A. van Hoogdalem , Daniel Loss

We address the nature of spin transport in the integrable XXZ spin chain, focusing on the isotropic Heisenberg limit. We calculate the diffusion constant using a kinetic picture based on generalized hydrodynamics combined with Gaussian…

Statistical Mechanics · Physics 2019-04-02 Sarang Gopalakrishnan , Romain Vasseur

Based on kinetic equations for the density matrix, drift-diffusion equations are derived for a two-dimensional electron gas with Rashba spin-orbit coupling. Universal results are obtained for the weak coupling case. Most interesting is the…

Statistical Mechanics · Physics 2009-11-13 V. V. Bryksin , P. Kleinert
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