Electronic properties, correlated topology, and Green's function zeros

There is extensive current interest in electronic topology in correlated settings. In strongly correlated systems, contours of Green's function zeros may develop in frequency-momentum space, and their role in correlated topology has increasingly been recognized. However, whether and how the zeros contribute to electronic properties is a matter of uncertainty. Here we address the issue in an exactly solvable model for a Mott insulator. We show that the Green's function zeros contribute to several physically measurable correlation functions in a way that does not run into inconsistencies. In particular, the physical properties remain robust to chemical potential variations up to the Mott gap, as it should be based on general considerations. Our work sets the stage for further understandings of the rich interplay among topology, symmetry, and strong correlations. Published by the American Physical Society 2024

Authors

Institutions

Publication Details

Journal
Physical Review Research
Published
2024-09-03
DOI
https://doi.org/10.1103/physrevresearch.6.033235
Citations
25
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
7.76

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Electronic properties, correlated topology, and Green's function zeros

Maia G. Vergniory, Shouvik Sur, Chandan Setty, Fang Xie et al.
25 citations
Physical Review Research
Topological Materials and Phenomena
7.76
article

Electronic properties, correlated topology, and Green's function zeros

Maia G. Vergniory, Shouvik Sur, Chandan Setty, Fang Xie, Qimiao Si, Lei Chen
article en
25 citations

Abstract

There is extensive current interest in electronic topology in correlated settings. In strongly correlated systems, contours of Green's function zeros may develop in frequency-momentum space, and their role in correlated topology has increasingly been recognized. However, whether and how the zeros contribute to electronic properties is a matter of uncertainty. Here we address the issue in an exactly solvable model for a Mott insulator. We show that the Green's function zeros contribute to several physically measurable correlation functions in a way that does not run into inconsistencies. In particular, the physical properties remain robust to chemical potential variations up to the Mott gap, as it should be based on general considerations. Our work sets the stage for further understandings of the rich interplay among topology, symmetry, and strong correlations. Published by the American Physical Society 2024

Physical Review ResearchVol. 6(3)
Iowa State University (US), Ames National Laboratory (US), Max Planck Institute for Chemical Physics of Solids (DE), Donostia International Physics Center (ES), Rice University (US)
National Science Foundation, Welch Foundation, Aspen Center for Physics, Rice University, Iowa State University, European Commission, Deutsche Forschungsgemeinschaft, Eusko Jaurlaritza, University of California, Santa Barbara, Office of Naval Research, Division of Materials Research, Air Force Office of Scientific Research, H2020 European Research Council
Openalex Percentile: Top 2%
Topological Materials and Phenomena
7.76
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.