Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases--Institute of Theoretical Physics，Chinese Academy of Sciences

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Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases

10/27 2021 Seminar

Title Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases
Speaker 姜胜寒（中科院大学卡弗里理论物理研究所）
Date 2021年10月27日 14:00-15:00
Venue 北楼202

Abstract

We propose and prove a family of generalized Lieb-Schultz-Mattis (LSM) theorems for symmetry protected topological (SPT) phases on boson/spin models in any dimensions. The "conventional" LSM theorem, applicable to e.g. any translation invariant system with an odd number of spin-1/2 particles per unit cell, forbids a symmetric short-range-entangled ground state in such a system. Here we focus on systems with no LSM anomaly, where global/crystalline symmetries and fractional spins within the unit cell ensure that any symmetric SRE ground state must be a nontrivial SPT phase with anomalous boundary excitations. We provide examples in one, two and three spatial dimensions, and discuss possible physical realization of these SPT phases based on condensation of topological excitations in fractionalized phases.