Anisotropic Landau-Lifshitz model in discrete space-time

Krajnik, Žiga; Ilievski, Enej; Prosen, Tomaž; Pasquier, Vincent

doi:10.21468/SciPostPhys.11.3.051

SciPost Physics

Anisotropic Landau-Lifshitz model in discrete space-time

Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent Pasquier

SciPost Phys. 11, 051 (2021) · published 9 September 2021

doi: 10.21468/SciPostPhys.11.3.051
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.3.051
TI  - Anisotropic Landau-Lifshitz model in discrete space-time
PY  - 2021/09/09
UR  - https://scipost.org/SciPostPhys.11.3.051
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 3
SP  - 051
A1  - Krajnik, Žiga
AU  - Ilievski, Enej
AU  - Prosen, Tomaž
AU  - Pasquier, Vincent
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.11.3.051,
	title={{Anisotropic Landau-Lifshitz model in discrete space-time}},
	author={Žiga Krajnik and Enej Ilievski and Tomaž Prosen and Vincent Pasquier},
	journal={SciPost Phys.},
	volume={11},
	pages={051},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.3.051},
	url={https://scipost.org/10.21468/SciPostPhys.11.3.051},
}

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