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We study spin transport of the XXZ model with next-nearest neighbor $\Delta_2$ terms. We compute numerically dependence of spin conductivity $\sigma(\omega)$ on the anisotropy $\Delta$ and the ratio $r= \Delta_2/\Delta$, in the large…

Strongly Correlated Electrons · Physics 2025-04-29 Zhi-Hua Li

We present evidence suggesting that spin transport in the gapless phase of the S=1/2 XXZ model is ballistic rather than diffusive. We map the model onto a spinless fermion model whose charge stiffness determines the spin transport of the…

Condensed Matter · Physics 2016-08-31 B. N. Narozhny , A. J. Millis , N. Andrei

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

We address spin transport in the easy-axis Heisenberg spin chain subject to integrability-breaking perturbations. We find that spin transport is subdiffusive with dynamical exponent $z=4$ up to a timescale that is parametrically long in the…

Statistical Mechanics · Physics 2022-08-23 Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

Conventional transport theory focuses on either the diffusive or ballistic regimes and neglects the crossover region between the two. In the presence of spin-orbit coupling, the transport equations are known only in the diffusive regime,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Andrei Bernevig , Jiangping Hu

Isotropic integrable spin chains such as the Heisenberg model feature superdiffusive spin transport belonging to an as-yet-unidentified dynamical universality class closely related to that of Kardar, Parisi, and Zhang (KPZ). To determine…

The impact of the dispersion of the transport coefficients on the structure of the energy distribution function for charge carriers far from equilibrium has been investigated in effective-medium approximation for model densities of states.…

Disordered Systems and Neural Networks · Physics 2009-11-10 O. Bleibaum , H. Boettger , V. V. Bryksin

Electron dynamics and energization are one of the key components of magnetic field dissipation in collisionless reconnection. In 2D numerical simulations of magnetic reconnection, the main mechanism that limits the current density and…

Plasma Physics · Physics 2019-10-09 F. Pucci , S. Usami , H. Ji , X. Guo , R. Horiuchi , S. Okamura , W. Fox , J. Jara-Almonte , M. Yamada , J. Yoo

We analyze the Drude weight for both spin and thermal transport of one-dimensional spin-1/2 systems by means of exact diagonalization at finite temperatures. While the Drude weights are non-zero for finite systems, we find indications of a…

Strongly Correlated Electrons · Physics 2015-03-03 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

We study nonlinear fluctuating hydrodynamic theories with charge and energy conservation in and above two dimensions that describe the large-scale behavior of the Hamiltonian XY model in the disordered and ordered phases. Using…

Statistical Mechanics · Physics 2025-02-18 Ken Hiura

Harnessing power-law interactions ($1/r^\alpha$) in a large variety of physical systems are increasing. We study the dynamics of chiral spin chains as a possible multi-directional quantum channel. This arises from the nonlinear character of…

Strongly Correlated Electrons · Physics 2022-06-13 Javad Vahedi

In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ model at zero magnetic field or the charge…

Strongly Correlated Electrons · Physics 2011-01-31 J. Sirker , R. G. Pereira , I. Affleck

The dynamics of magnetization and energy densities are studied in the two-leg spin-1/2 ladder. Using an efficient pure-state approach based on the concept of typicality, we calculate spatio-temporal correlation functions for large systems…

We report a systematic study of finite-temperature spin transport in quantum and classical one-dimensional magnets with isotropic spin interactions, including both integrable and non-integrable models. Employing a phenomenological framework…

Statistical Mechanics · Physics 2020-06-24 Jacopo De Nardis , Marko Medenjak , Christoph Karrasch , Enej Ilievski

We investigate the influence of different interaction strengths and dimerizations on the magnetization transport in antiferromagnetic spin-1/2 XXZ-chains. We focus on the real-time evolution of the inhomogeneous initial state with all spins…

Statistical Mechanics · Physics 2009-09-29 Dominique Gobert , Corinna Kollath , Ulrich Schollwoeck , Gunter Schuetz

Anomalous KPZ spin transport is well established in integrable non-Abelian lattice models but has not been investigated in continuum field theories as discretization in numerics generally break the continuum theory's integrability. We show…

Statistical Mechanics · Physics 2026-01-28 Matija Koterle , Tomaz Prosen , Tianci Zhou

We investigate the high-temperature dynamical conductivity $\sigma(\omega)$ in two one-dimensional integrable quantum lattice models: the anisotropic XXZ spin chain and the Hubbard chain. The emphasis is on the metallic regime of both…

Strongly Correlated Electrons · Physics 2021-09-29 P. Prelovšek , M. Mierzejewski , J. Herbrych

We develop a detailed analysis of electron transport in normal diffusive con- ductors in the presence of proximity induced superconductivity. A rich structure of temperature and energy dependencies for the system condcutcance, density of…

Condensed Matter · Physics 2007-05-23 A. D. Zaikin , F. K. Wilhelm , A. A. Golubov

Using microscopic theory, we investigate the properties of a spin current driven by magnetization dynamics. In the limit of smooth magnetization texture, the dominant spin current induced by the spin pumping effect is shown to be the…

Mesoscale and Nanoscale Physics · Physics 2010-04-08 Akihito Takeuchi , Kazuhiro Hosono , Gen Tatara

The study of energy transport properties in heterogeneous materials has attracted scientific interest for more than a century, and it continues to offer fundamental and rich questions. One of the unanswered challenges is to extend Anderson…

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