Spin crossovers and superdiffusion in the one-dimensional Hubbard model

Spin crossovers and superdiffusion in the one-dimensional Hubbard model
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DOI:
10.1103/physrevb.102.115121
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发表时间:
2020-05
期刊:
影响因子:
3.7
通讯作者:
Michele Fava;Brayden Ware;S. Gopalakrishnan;S. Gopalakrishnan;R. Vasseur;S. Parameswaran
Michele Fava;Brayden Ware;S. Gopalakrishnan;S. Gopalakrishnan;R. Vasseur;S. Parameswaran
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Michele Fava;Brayden Ware;S. Gopalakrishnan;S. Gopalakrishnan;R. Vasseur;S. Parameswaran

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利用可积系统的广义流体力学框架,研究了一维Hubbard模型中的有限温度输运问题。在强耦合下,作者描述了自旋不相干状态下的传输-其中自旋自由度是“热”的,而电荷自由度是“冷”的-及其与Luttinger液体状态的交叉。此外,使用分析论证和数值模拟相结合,作者表明,当哈密顿量具有自旋或$\ensuremath{\eta}$-配对SU(2)对称性或两者兼而有之时,自旋或电荷输运是超扩散的Kardar-Parisi-Zhang标度。
Using the framework of generalized hydrodynamics for integrable systems, the authors study finite-temperature transport in the 1D Hubbard model. At strong coupling, the authors characterize transport in the spin-incoherent regime -- where spin degrees of freedom are ``hot'' while charge degrees of freedom are ``cold'' -- and its crossover to the Luttinger liquid regime. Furthermore, using a combination of analytical arguments and numerical simulations, the authors show that when the Hamiltonian features a spin or $\ensuremath{\eta}$-pairing SU(2) symmetry or both, spin or charge transport is superdiffusive with Kardar-Parisi-Zhang scaling.