Anisotropic Landau-Lifshitz model in discrete space-time
Žiga Krajnik,Enej Ilievski,Tomaz Prosen,Vincent Pasquier +3 more
- Vol. 11, Iss: 3, pp 051
TLDR
In this paper, 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, is presented.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.read more
Citations
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Anomalous transport from hot quasiparticles in interacting spin chains
TL;DR: In this article , the authors review the transport properties of the XXZ spin chain using an intuitive quasiparticle picture that relies on the recently introduced framework of generalized hydrodynamics.
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Absence of Normal Fluctuations in an Integrable Magnet
TL;DR: In this paper , the authors investigate dynamical fluctuations of transferred magnetization in the one-dimensional lattice Landau-Lifshitz magnet with uniaxial anisotropy, representing an emblematic model of interacting spins.
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Current correlations, Drude weights and large deviations in a box–ball system
TL;DR: In this article , the authors explore several aspects of the current fluctuations and correlations in the box-ball system, an integrable cellular automaton in one space dimension, and compute several quantities exactly in such a homogeneous stationary state: the mean value and the variance of the number of balls crossing the origin during time t, and the scaled cumulants generating function associated to N t .
Journal ArticleDOI
Popcorn Drude weights from quantum symmetry
TL;DR: In this article , it was shown that the spin Drude weight in the critical phase of the integrable spin chain assumes an extraordinary, nowhere continuous, dependence on the anisotropy parameter in the shape of a "popcorn function".
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