期刊
PHYSICAL REVIEW LETTERS
卷 124, 期 21, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.124.210605
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资金
- Research Foundation Flanders (FWO)
- Slovenian Research Agency [P1-0402]
- NWO Talent Programme Veni Grant by the Netherlands Organisation for Scientific Research [680-47-454]
- Deutsche Forschungsgemeinschaft through the Emmy Noether program [KA 3360/2-1]
We report a systematic study of finite-temperature spin transport in quantum and classical one-dimensional magnets with isotropic spin interactions, including both integrable and nonintegrable models. Employing a phenomenological framework based on a generalized Burgers' equation in a time-dependent stochastic environment, we identify four different universality classes of spin fluctuations. These comprise, aside from normal spin diffusion, three types of superdiffusive transport: the Kardar-Parisi-Zhang universality class and two distinct types of anomalous diffusion with multiplicative logarithmic corrections. Our predictions are supported by extensive numerical simulations on various examples of quantum and classical chains. Contrary to common belief, we demonstrate that even nonintegrable spin chains can display a diverging spin diffusion constant at finite temperatures.
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