Lieb-Schultz-Mattis theorem for 1d quantum magnets with magnetic space group symmetries

by Dr Linhao Li (the University of Ghent)

Wednesday 10 Jan 2024, 14:00 → 15:00 Asia/Shanghai

TDLI Meeting Room N600 (East Wing of Floor 6, North Building)

Abstract

The Lieb-Schultz-Mattis theorem is a powerful principle for quantum many-body systems. In this talk, I will discuss 1d LSM theorem in the presence of an exotic antiunitary translation or inversion symmetry involving time reversal.  This explains the gaplessness of a class of chiral spin models not indicated by the Lieb-Schultz-Mattis (LSM) theorem and its known extensions. Moreover, I will present symmetry classes with minimal sets of magnetic space group generators that give nontrivial LSM-type constraints. These extended LSM theorems apply to systems with a broader class of spin interactions, such as Dzyaloshinskii-Moriya interactions and triple-product interactions. 

Biography

Linhao Li received his B.S. from Shanghai Jiao Tong University under the supervision of Prof. Zi Cai in 2018 and his Ph.D. from University of Tokyo under the supervision of Prof. Masaki Oshikawa in 2023 fall. Now he is moving to the University of Ghent, as a postdoc collaborating with Prof. Frank Verstraete. His main interest is on the topological phase of matter and nonperturbative method in quantum many-body systems, especially Lieb-Schultz-Mattis type theorem in condensed matter and symmetry-protected criticality.

Division

Condensed Matter

Other information

Tencent meeting link: https://meeting.tencent.com/dm/9qexl8gDxUSc  Meeting ID: 912 598 127