Anisotropic Landau-Lifshitz model in discrete space-time

We construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet with uniaxial anisotropy. As an application we use this explicit discrete symplectic integration scheme to compute the s...

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Main Author:	Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent Pasquier
Format:	Article
Language:	English
Published:	SciPost 2021-09-01
Series:	SciPost Physics
Online Access:	https://scipost.org/SciPostPhys.11.3.051

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spelling	doaj-0529ef3fa5d84dbeb9df5d3ae8b089e82021-09-09T07:53:20ZengSciPostSciPost Physics2542-46532021-09-0111305110.21468/SciPostPhys.11.3.051Anisotropic Landau-Lifshitz model in discrete space-timeŽiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent PasquierWe construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet with uniaxial anisotropy. As an application we use this explicit discrete symplectic integration scheme to compute the spin Drude weight and diffusion constant as functions of anisotropy and chemical potential. We demonstrate qualitatively different behavior in the easy-axis and the easy-plane regimes in the non-magnetized sector. Upon approaching the isotropic point we also find an algebraic divergence of the diffusion constant, signaling a crossover to spin superdiffusion.https://scipost.org/SciPostPhys.11.3.051
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent Pasquier
spellingShingle	Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent Pasquier Anisotropic Landau-Lifshitz model in discrete space-time SciPost Physics
author_facet	Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent Pasquier
author_sort	Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent Pasquier
title	Anisotropic Landau-Lifshitz model in discrete space-time
title_short	Anisotropic Landau-Lifshitz model in discrete space-time
title_full	Anisotropic Landau-Lifshitz model in discrete space-time
title_fullStr	Anisotropic Landau-Lifshitz model in discrete space-time
title_full_unstemmed	Anisotropic Landau-Lifshitz model in discrete space-time
title_sort	anisotropic landau-lifshitz model in discrete space-time
publisher	SciPost
series	SciPost Physics
issn	2542-4653
publishDate	2021-09-01
description	We construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet with uniaxial anisotropy. As an application we use this explicit discrete symplectic integration scheme to compute the spin Drude weight and diffusion constant as functions of anisotropy and chemical potential. We demonstrate qualitatively different behavior in the easy-axis and the easy-plane regimes in the non-magnetized sector. Upon approaching the isotropic point we also find an algebraic divergence of the diffusion constant, signaling a crossover to spin superdiffusion.
url	https://scipost.org/SciPostPhys.11.3.051
work_keys_str_mv	AT zigakrajnikenejilievskitomazprosenvincentpasquier anisotropiclandaulifshitzmodelindiscretespacetime
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Anisotropic Landau-Lifshitz model in discrete space-time

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