Bulletin of the American Physical Society
54th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 68, Number 7
Monday–Friday, June 5–9, 2023; Spokane, Washington
Session F01: Poster Session I (4:00pm-6:00pm PT)
4:00 PM,
Tuesday, June 6, 2023
Room: Exhibit Hall C
Abstract: F01.00063 : Many-body polarization and topological phases of the Rice-Mele-Hubbard model*
Presenter:
Julius Bohm
(University of Kaiserslautern)
Authors:
Julius Bohm
(University of Kaiserslautern)
Dennis Breu
(Technical University of Kaiserslautern)
Michael Fleischhauer
(Technical University of Kaiserslautern)
both in the many-body ground state and for finite temperature states. We here discuss the Rice-Mele model for spinful fermions with local Hubbard interactions at double-half filling, realizing a topological charge pump. It has been shown that for sufficiently strong repulsive interactions the topologically quantized charge transport of 1 + 1 particle per pump cycle either breaks down completely [2,3] or is reduced to a transport of 1/2 + 1/2 particle when appropriately modifying the parameter path. For equal hopping amplitudes and sufficiently strong repulsive interactions the ground state is a doubly degenerate Mott insulator, while the ground state is non-degenerate for alternating hoppings. We show that in the regimes where interactions destroy a quantized particle transport, the many-body polarization of individual spin components still allows to identify topological phases visible e.g. by the presence or absence of edge states. We also discuss the relation between polarization winding and transport in the presence of isolated parameter points with double degeneracy.
[1] R. Resta, Phys. Rev. Lett. 80, 1800 (1998)
[2] M. Nakagawa et al., Phys. Rev. B 98, 115147 (2018)
[3] E. Bertok et al., Phys. Rev. B 106, 045141 (2022)
*The authors gratefully acknowledge financial support from the DFG through SFB TR 185, project number 277625399.
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