Anisotropic Landau-Lifshitz model in discrete space-time

Anisotropic Landau-Lifshitz model in discrete space-time

Blog Article

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 Fat Separators 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 Wire Cages spin superdiffusion.