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 AA07: V: Precision Many Body Physics
5:00 AM–6:48 AM,
Monday, March 20, 2023
Room: Virtual Room 7
Sponsoring
Unit:
DCOMP
Chair: Chenan Wei, University of Massachusetts Amherst
Abstract: AA07.00001 : Invited Talk: Baigeng Wang*
5:00 AM–5:36 AM
Presenter:
Baigeng Wang
(Nanjing Univ)
Author:
Baigeng Wang
(Nanjing Univ)
Correlated spin systems host rich many-body phenomena, including long-range magnetic orders, quantum spin-liquids, topological phase transitions, and quantum criticalities. It is of crucial importance to look for general theories describing these quantum phenomena within the same framework. We develop a general method to study correlated quantum spin systems, namely, the lattice Chern-Simons (CS) fermionization approach. We introduce a systematic mapping scheme, which transforms the quantum spin models into low-energy effective theories describing interacting spinless CS fermions. We show that the mean-field theories based on the CS fermions well describe different types of long-range magnetic orders, which further lead to field theoretical descriptions of the quantum phase transitions between them. With further considering the quantum fluctuations beyond the mean-field level, the approach can make predictions about certain quantum spin-liquids in frustrated quantum magnets. Correspondingly, new understandings are obtained for the topological phase transitions between long-range magnetic orders and quantum spin liquids. Furthermore, the method is also applicable to other correlated systems, for example, the quantum impurity problems in spin-liquids, where it indicates the emergence of Kondo physics induced by gauge fluctuations. These results suggest that the lattice CS mean-field theory could provide a general framework for studying correlated spin systems.
*National Key R&D Program of China (Grant No. 2017YFA0303200) and Natural Science Foundation of China (Grant No. 11904225)
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