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We study the transport and equilibration properties of a classical Heisenberg chain, whose couplings are random variables drawn from a one-parameter family of power-law distributions. The absence of a scale in the couplings makes the system…

Statistical Mechanics · Physics 2023-10-09 Adam J. McRoberts , Federico Balducci , Roderich Moessner , Antonello Scardicchio

We consider a finite one-dimensional Heisenberg XYZ spin chain under the influence of dissipative Lindblad environment obeying the Born-Markovian constrain in presence of an external magnetic field. We apply both closed and open boundary…

Quantum Physics · Physics 2016-08-03 Gehad Sadiek , Samaher Almalki

We study the two dimensional quantum Heisenberg antiferromagnet on the square lattice with easy-axis exchange anisotropy. By the semiclassical method called pure-quantum self-consistent harmonic approximation we analyse several…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Tommaso Roscilde , Paola Verrucchi , Ruggero Vaia

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

We demonstrate that the concept of quantum typicality allows for significant progress in the study of real-time spin dynamics and transport in quantum magnets. To this end, we present a numerical analysis of the spin-current autocorrelation…

Strongly Correlated Electrons · Physics 2014-03-31 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

The Heisenberg spin chain is a canonical integrable model. As such, it features stable ballistically propagating quasiparticles, but spin transport is sub-ballistic at any nonzero temperature: an initially localized spin fluctuation spreads…

Statistical Mechanics · Physics 2024-03-15 Sarang Gopalakrishnan , Romain Vasseur

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 investigate numerically the magnetisation dynamics of an array of nano-disks interacting through the magneto-dipolar coupling. In the presence of a temperature gradient, the chain reaches a non-equilibrium steady state where energy and…

Statistical Mechanics · Physics 2015-03-03 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Jonathan Chico , Lars Bergqvist , Anna Delin , Jonas Fransson

Many experimentally relevant quantum spin chains are approximately integrable, and support long-lived quasiparticle excitations. A canonical example of integrable model of quantum magnetism is the XXZ spin chain, for which energy spreads…

Strongly Correlated Electrons · Physics 2023-02-03 Sarang Gopalakrishnan , Romain Vasseur

We investigate an open XXZ spin 1/2 chain driven out of equilibrium by coupling with boundary reservoirs targeting different spin orientations in XY plane. Symmetries of the model are revealed which appear to be different for spin chains of…

Statistical Mechanics · Physics 2015-06-11 V. Popkov

Taking the Ising chain as a reference model we have derived a perturbative expression for the free energy density of the Heisenberg-Ising chain with strong easy-axis anisotropy. All calculations are performed on the ground of the Quantum…

Strongly Correlated Electrons · Physics 2022-03-09 P. N. Bibikov

We analyze transport of local magnetization and develop schemes to control transport behavior in finite spin-1/2 Heisenberg chains and spin-1/2 Heisenberg two-leg ladders at zero temperature. By adjusting parameters in the Hamiltonians,…

Statistical Mechanics · Physics 2009-11-13 L. F. Santos

We numerically study spin transport and nonequilibrium spin-density profiles in a clean one-dimensional spin-chain with long-range interactions, decaying as a power-law,$r^{-\alpha}$ with distance. We find two distinct regimes of transport:…

Disordered Systems and Neural Networks · Physics 2019-03-27 Benedikt Kloss , Yevgeny Bar Lev

We investigate spin transport in the anisotropic Heisenberg chain in the limit of high temperatures ({\beta} \to 0). We particularly focus on diffusion and the quantitative evaluation of diffusion constants from current autocorrelations as…

Statistical Mechanics · Physics 2010-10-15 Robin Steinigeweg , Roman Schnalle

Motivated by recent experimental progress in the quasi-one-dimensional quantum magnet NiNb$_2$O$_6$, we study the spin dynamics of an S=1 ferromagnetic Heisenberg chain with single-ion anisotropy by using a semiclassical molecular dynamics…

Strongly Correlated Electrons · Physics 2024-08-01 Chengchen Li , Yi Cui , Weiqiang Yu , Rong Yu

We study high-temperature magnetization transport in a many-body spin-1/2 chain with on-site quasiperiodic potential governed by the Fibonacci rule. In the absence of interactions it is known that the system is critical with the transport…

Strongly Correlated Electrons · Physics 2019-09-13 Vipin Kerala Varma , Marko Znidaric

The purpose of this note is to connect early work on thermal transport in spin-1/2 Heisenberg chains with uniaxial exchange anisotropy and nearest-neighbor interactions that was based on a moment analysis of the Fourier transform of the…

Strongly Correlated Electrons · Physics 2008-06-18 D. L. Huber

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

Purely ballistic transport is a rare feature even for integrable models. By numerically studying the Heisenberg chain with the power-law exchange, \mbox{$J\propto1/r^\alpha$}, where $r$ is a distance, we show that for spin anisotropy…

Strongly Correlated Electrons · Physics 2023-01-25 M. Mierzejewski , J. Wronowicz , J. Pawłowski , J. Herbrych

We investigate spin and thermal transport near the N\'{e}el transition temperature $T_N$ in three dimensions, by numerically analyzing the classical antiferromagnetic $XXZ$ model on the cubic lattice, where in the model, the anisotropy of…

Strongly Correlated Electrons · Physics 2022-12-09 Kazushi Aoyama