多体复凯恩综合指数

IF 2.6 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-08-01 DOI:10.1007/s00220-025-05390-7

Sven Bachmann, Alex Bols, Mahsa Rahnama

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引用次数: 0

摘要

我们定义了具有电荷守恒和时间反转对称性的二维费米子晶格系统的稳定短程纠缠态的\({\mathbb Z}_2\)值指标。如果“通量”（通过系统插入\(\pi \) -通量获得的状态）作为Kramers对的一部分在时间反转下变换，则该指标精确地取其非平凡值。该指标将自由费米子拓扑绝缘子的傅-凯恩-梅尔指数推广到相互作用系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Many-Body Fu–Kane–Mele Index

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Many-Body Fu–Kane–Mele Index

We define a \({\mathbb Z}_2\)-valued index for stably short-range entangled states of two-dimensional fermionic lattice systems with charge conservation and time reversal symmetry. The index takes its non-trivial value precisely if the ‘fluxon’, the state obtained by inserting a \(\pi \)-flux through the system, transforms under time reversal as part of a Kramers pair. This index extends the Fu–Kane–Mele index of free fermionic topological insulators to interacting systems.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.