Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T25: Theory of Topological Insulators and Topological Band Structures
11:30 AM–2:30 PM,
Thursday, March 9, 2023
Room: Room 217/218
Sponsoring
Unit:
DCMP
Chair: Kai-Jie Yang, Pennsylvania State University
Abstract: T25.00009 : Geometric contribution to the longitudinal conductivity in insulators
1:06 PM–1:18 PM
Presenter:
Ilia Komissarov
(Columbia University)
Authors:
Ilia Komissarov
(Columbia University)
Tobias Holder
(Weizmann Institute of Science)
Raquel Queiroz
(Columbia University)
Geometry plays an especially important role when only two bands contribute to the conductivity σμν. Here, we capitalize on that, showing that in a Landau-level system, the imaginary transverse AC conductivity couples directly to the quantum metric, which suggests it is possible to measure gαβ using current Hall devices. In the more general case where multiple bands participate in transport, the response is no longer proportional to the quantum metric, however, different bounds on Im(σμμ) in terms of the quantum geometry can be imposed.
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