Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T19: Strong Electronic Correlations in Topological Materials: Theory
11:30 AM–2:06 PM,
Thursday, March 9, 2023
Room: Room 211
Sponsoring
Unit:
DCMP
Chair: Zijia Cheng, Princeton University
Abstract: T19.00009 : Generalized Thouless pumps in (1+1)-dimensional interacting fermionic systems*
1:06 PM–1:18 PM
Presenter:
Shuhei Ohyama
(Yukawa Institute for Theoretical Physics, Kyoto University)
Authors:
Shuhei Ohyama
(Yukawa Institute for Theoretical Physics, Kyoto University)
Masatoshi Sato
(Kyoto Univ)
Ken Shiozaki
(Yukawa Institute for Theoretical Physics, Kyoto University)
Method and Result We analyze the pump phenomenon in (1+1)-dimensional systems using fermionic matrix product states (fMPS), which is a method to represent many-body quantum states by a set of matrices. By using fMPS, a SRE state can be characterized by the algebraic properties (Z/2Z-graded central simplicity). We define topological invariants of pumps by using Z/2Z-graded central simple fMPS and confirm the stability of pump with interactions. Using this invariant, we propose a novel system with a fermion parity pump. In addition, we pointed out that mathematically this invariant is related to a quantity called twist of K-theory. This led us to discuss the geometric meaning of topological pump.
Summary
- We proposed a new topological invariant which detect a fermion parity pump.
- We made some interacting models which has a non-trivial fermion parity pump.
- We have clarified the geometric meaning of the pump invariants.
*This work was supported by JST CREST Grant No. JPMJCR19T2 and the Center for Gravitational Physics and Quantum Information (CGPQI) at Yukawa Institute for Theoretical Physics.
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