Anisotropic Landau-Lifshitz Model in Discrete Space-Time
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866912808264794112 |
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| author | Krajnik, Žiga Ilievski, Enej Prosen, Tomaž Pasquier, Vincent |
| author_facet | Krajnik, Žiga Ilievski, Enej Prosen, Tomaž Pasquier, Vincent |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_13863 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Anisotropic Landau-Lifshitz Model in Discrete Space-Time Krajnik, Žiga Ilievski, Enej Prosen, Tomaž Pasquier, Vincent Statistical Mechanics 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. |
| title | Anisotropic Landau-Lifshitz Model in Discrete Space-Time |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2104.13863 |