Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session B17: Strong Electronic Correlations in Topological Materials I
11:30 AM–2:30 PM,
Monday, March 4, 2024
Room: M100H
Sponsoring
Unit:
DCMP
Chair: Ravinder Kumar, Morgan State University
Abstract: B17.00010 : Electronic properties, correlated topology and Green's function zeros*
1:18 PM–1:30 PM
Presenter:
Maia Garcia Vergniory
(Max Planck Institute for Chemical Physics of Solids)
Authors:
Maia Garcia Vergniory
(Max Planck Institute for Chemical Physics of Solids)
Fang Xie
(Rice University)
Chandan Setty
(Rice University)
Shouvik Sur
(Rice University)
Lei Chen
(Rice University)
Qimiao Si
(Rice University)
motivates the consideration of topological invariants and experimentally observable electronic
properties based on Green’s functions. In a Mott insulator, contours of Green’s function zeros
may develop within its correlated gap. However, further investigation is needed to determine
whether and how the contour of zeros contributes to observable quantities. In this work, we
systematically studied the relationship between the Green’s functions and two physical
observable quantities: the total electron number and the Hall conductivity. By studying an
exactly solvable Mott insulator model, we demonstrate that the Green’s function zeros and poles
contribute to these observable quantities in a way that the physical properties remain robust to
chemical potential variations up to the Mott gap at zero temperature as it should be without
running into inconsistencies. Our result provides new prospective for the interplay among
topology, symmetry and strong correlation.
*Work at Rice supported by the AFOSR (FA9550-21-1-0356) and NSF (DMR-2220603)
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