Anisotropic Landau-Lifshitz model in discrete space-time

Krajnik, Žiga (author), Ilievski, Enej (author), Prosen, Tomaž (author), Pasquier, Vincent (author)

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.

• Language: English
• Keywords: theoretical physics, integrable models
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2021
• Number of pages: 34 str.
• Numbering: Vol. 11, art. no. ǂ051
• PID: 20.500.12556/RUL-130165
• UDC: 53
• ISSN on article: 2542-4653
• DOI: 10.21468/SciPostPhys.11.3.051
• COBISS.SI-ID: 76027139
• Publication date in RUL: 10.09.2021

Record is a part of a journal

• Title: SciPost physics
• Publisher: SciPost Foundation
• ISSN: 2542-4653
• COBISS.SI-ID: 526154521

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
• Licensing start date: 09.09.2021

Secondary language

• Language: Slovenian
• Keywords: teoretična fizika, integrabilni modeli

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open Many-body Non-Equilibrium Systems
• Acronym: OMNES

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0402
• Name: Matematična fizika