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Other research product . Other ORP type . 2021

Anisotropic Landau-Lifshitz model in discrete space-time

Krajnik, Žiga; Ilievski, Enej; Prosen, Tomaž; Pasquier, Vincent;
Open Access   English  
Published: 10 Sep 2021
Publisher: SciPost Foundation
Country: Slovenia
Abstract
Weconstruct an integrable lattice model of classical interacting spins in discrete spacetime, 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.
Subjects by Vocabulary

Universal Decimal Classification: udc:53

arXiv: Condensed Matter::Strongly Correlated Electrons

Subjects

theoretical physics, integrable models, teoretična fizika, integrabilni modeli

Related Organizations
Funded by
EC| OMNES
Project
OMNES
Open Many-body Non-Equilibrium Systems
  • Funder: European Commission (EC)
  • Project Code: 694544
  • Funding stream: H2020 | ERC | ERC-ADG