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Related papers: Universal spin dynamics in infinite-temperature on…

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We analytically and numerically study spin transport in a one-dimensional Heisenberg model in linear-response regime at infinite temperature. It is shown that as the anisotropy parameter Delta is varied spin transport changes from ballistic…

Strongly Correlated Electrons · Physics 2011-06-03 Marko Znidaric

We study transport properties of anisotropic Heisenberg model in a disordered magnetic field experiencing dephasing due to external degrees of freedom. In the absence of dephasing the model can display, depending on parameter values, the…

Strongly Correlated Electrons · Physics 2015-03-13 Marko Znidaric

We study the spin and thermal conductivity of spin-1/2 ladders at finite temperature. This is relevant for experiments with quantum magnets. Using a state-of-the-art density matrix renormalization group algorithm, we compute the current…

Strongly Correlated Electrons · Physics 2015-06-23 C. Karrasch , D. M. Kennes , F. Heidrich-Meisner

The isotropic Heisenberg chain represents a particular case of an integrable many-body system exhibiting superdiffusive spin transport at finite temperatures. Here, we show that this model has distinct properties also at finite…

Strongly Correlated Electrons · Physics 2023-10-09 S. Nandy , Z. Lenarčič , E. Ilievski , M. Mierzejewski , J. Herbrych , P. Prelovšek

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 use the concept of typicality to study the real-time dynamics of spin and energy currents in spin-1/2 models in one dimension and at nonzero temperatures. These chains are the integrable XXZ chain and a nonintegrable modification due to…

Strongly Correlated Electrons · Physics 2015-03-10 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

We present exact results on the thermal conductivity of the one-dimensional spin-1/2 XXZ model in the massive antiferromagnetic and ferromagnetic regimes. The thermal Drude weight is calculated by a lattice path integral formulation.…

Statistical Mechanics · Physics 2008-11-26 Kazumitsu Sakai , Andreas Kluemper

We study the heat conduction of the spin-1/2 XXZ chain in finite magnetic fields where magnetothermal effects arise. Due to the integrability of this model, all transport coefficients diverge, signaled by finite Drude weights. Using exact…

Strongly Correlated Electrons · Physics 2007-05-23 F. Heidrich-Meisner , A. Honecker , W. Brenig

Universality is a crucial concept in modern physics, allowing us to capture the essential features of a system's behavior using a small set of parameters. In this work, we unveil universal spin relaxation dynamics in anisotropic random…

Strongly Correlated Electrons · Physics 2025-04-09 Tian-Gang Zhou , Wei Zheng , Pengfei Zhang

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

The dynamics of spin at finite temperature in the spin-1/2 Heisenberg chain was found to be superdiffusive in numerous recent numerical and experimental studies. Theoretical approaches to this problem have emphasized the role of nonabelian…

Statistical Mechanics · Physics 2022-06-20 Pieter W. Claeys , Austen Lamacraft , Jonah Herzog-Arbeitman

We analyze spin transport in insulating antiferromagnets described by the XXZ Heisenberg model in two and three dimensions. Spin currents can be generated by a magnetic-field gradient or, in systems with spin-orbit coupling, perpendicular…

Strongly Correlated Electrons · Physics 2007-06-13 Michael Sentef , Marcus Kollar , Arno P. Kampf

Characterizing the nature of hydrodynamical transport properties in quantum dynamics provides valuable insights into the fundamental understanding of exotic non-equilibrium phases of matter. Experimentally simulating infinite-temperature…

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 present numerical results for the spin and thermal conductivity of one-dimensional (1D) quantum spin systems. We contrast the properties of integrable models such as the spin-1/2 XXZ chain against nonintegrable ones such as frustrated…

Strongly Correlated Electrons · Physics 2008-01-09 F. Heidrich-Meisner , A. Honecker , W. Brenig

Here we consider a class of energy eigenstates of the spin-1/2 XXZ chain that exist both for anisotropies 1 and larger than 1. We show that at the isotropic point their contributions are behind the diffusion constant being infinite, spin…

Strongly Correlated Electrons · Physics 2025-09-11 J. M. P. Carmelo , P. D. Sacramento

The Drude weight for the spin transport of the spin-1/2 $XXZ$ Heisenberg chain in the critical regime is evaluated exactly for finite temperatures. We combine the thermodynamic Bethe ansatz with the functional relations of type $Y$-system…

Statistical Mechanics · Physics 2019-04-26 Andreas Klümper , Kazumitsu Sakai

A technique to determine accurately transport properties of integrable and non-integrable quantum-spin chains at finite temperatures by Quantum Monte-Carlo is presented. The reduction of the Drude weight by interactions in the integrable…

Condensed Matter · Physics 2009-11-07 J. V. Alvarez , Claudius Gros

Using generalized hydrodynamics (GHD), we exactly evaluate the finite-temperature spin Drude weight at zero magnetic field for the integrable XXZ chain with arbitrary spin and easy-plane anisotropy. First, we construct the fusion hierarchy…

Statistical Mechanics · Physics 2024-03-21 Shinya Ae , Kazumitsu Sakai

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