空穴掺杂安德森自旋绝缘体中的遍历性

中文摘要 AI 辅助

在存在无序的情况下，一个相互作用的、被局域化的多体系统可能无法充当自身的热浴。在电子系统中，电荷和自旋自由度可以互为热浴。本文研究了自旋扇区中的安德森绝缘体对电荷掺杂的稳定性。我们考虑一维双组分费米子，其位于具有大在位排斥（$t-J_{XX}$ 模型）的晶格上，并在随机磁场中存在单个空穴。在无空穴的情况下，自旋扇区在任意弱的随机磁场中都是局域化的。我们认为，在弱无序极限下，单个空穴会使自旋链热化。在此区间，我们的数值结果表明系统整体具有遍历性，且空穴退局域化。在较大的磁场下，空穴最终以有限的局域化长度局域化，安德森自旋绝缘体得以恢复。

英文摘要

An interacting many-body system being localized in the presence of disorder can fail to serve as its own bath. In an electronic system, the charge and spin degrees of freedom can act as thermal baths for each other. In this paper, we study the stability of an Anderson insulator in the spin sector with respect to charge doping. We consider one-dimensional two-component fermions in a lattice with large onsite repulsion ($t-J_{XX}$ model) and with a single hole in a random magnetic field. In the absence of the hole the spin sector is localized in arbitrarily weak random magnetic fields. We argue that a single hole thermalizes the spin chain in the weak disorder limit. In this regime our numerical results indicate ergodicity of the system as a whole and delocalization of the hole. At larger magnetic fields the hole eventually localizes with a finite localization length, and the Anderson spin insulator is restored.

发表机构

• National Research University Higher School of Economics（国立高等经济大学）
• Russian Quantum Center（俄罗斯量子中心）
• International Solvay Institutes（国际索尔维研究所）
• Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles (U.L.B.)（布鲁塞尔自由大学非线性现象与复杂系统中心）
• Moscow Institute of Physics and Technology（莫斯科物理技术学院）
• Université Paris-Saclay（巴黎萨克雷大学）
• Van der Waals–Zeeman Institute, Institute of Physics, University of Amsterdam（阿姆斯特丹大学范德瓦尔斯-泽曼物理研究所）

机构由 AI 辅助整理，请以论文原文为准。