Landau-Lifschitz Magnets: Exact Thermodynamics and Transport,Physical Review Letters

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Landau-Lifschitz Magnets: Exact Thermodynamics and Transport
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-04 , DOI: 10.1103/physrevlett.133.107102
Alvise Bastianello _{1,

2} , Žiga Krajnik ₃ , Enej Ilievski ₄

Affiliation

The classical Landau-Lifshitz equation—the simplest model of a ferromagnet—provides an archetypal example for studying transport phenomena. In one-spatial dimension, integrability enables the classification of linear and nonlinear mode spectrum. An exact characterization of finite-temperature thermodynamics and transport has nonetheless remained elusive. We present an exact description of thermodynamic equilibrium states in terms of interacting modes. This is achieved by retrieving the classical Landau-Lifschitz model through the semiclassical limit of the integrable quantum spin-

S

anisotropic Heisenberg chain at the level of the thermodynamic Bethe ansatz description. In the axial regime, the mode spectrum comprises solitons with unconventional statistics, whereas in the planar regime we find two additional types of modes of radiative and solitonic type. Our framework enables analytical study of unconventional transport properties: as an example we study the finite-temperature spin Drude weight, finding excellent agreement with Monte Carlo simulations.

中文翻译：

Landau-Lifschitz 磁体：精确的热力学和输运

经典的朗道-利夫希茨方程（最简单的铁磁体模型）为研究输运现象提供了一个典型的例子。在一空间维度中，可积性使得能够对线性和非线性模式谱进行分类。尽管如此，有限温度热力学和输运的精确表征仍然难以捉摸。我们根据相互作用模式提出了热力学平衡状态的精确描述。这是通过通过可积量子自旋的半经典极限检索经典 Landau-Lifschitz 模型来实现的