量子多体系统中的有序、无序与相变
统计力学
2020-03-16 v2 数学物理
math.MP
摘要
在本文中，我概述了量子多体理论中的一些精选结果，这些结果位于数学量子统计力学与凝聚态理论的交界面。特别地，我讨论了关于相互作用电子晶格模型中输运系数普适性的一些近期结果，具体聚焦于量子霍尔电导对电子-电子相互作用的无关性。在此背景下，数学物理与理论物理之间的思想交流被证明尤其富有成果，并有助于澄清量子守恒律（Ward 恒等式）以及欧氏电流-电流关联函数的衰减性质对电导相互作用无关性所起的作用。
引用
@article{arxiv.1711.06991,
title = {Order, disorder and phase transitions in quantum many body systems},
author = {Alessandro Giuliani},
journal= {arXiv preprint arXiv:1711.06991},
year = {2020}
}
备注
35 pages, 7 figures. These notes are based on a presentation given at the Istituto Lombardo, Accademia di Scienze e Lettere, in Milano (Italy) on May 5, 2016, as well as on the notes of a course given at the EMS-IAMP summer school in mathematical physics `Universality, Scaling Limits and Effective Theories', held in Roma (Italy) on July 11-15, 2016. Final version, accepted for publication