Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros

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dc.citation.articleNumberL032018
dc.citation.issueNumber3
dc.citation.journalTitlePhysical Review Research
dc.citation.volumeNumber6
dc.contributor.authorSetty, Chandan
dc.contributor.authorSur, Shouvik
dc.contributor.authorChen, Lei
dc.contributor.authorXie, Fang
dc.contributor.authorHu, Haoyu
dc.contributor.authorPaschen, Silke
dc.contributor.authorCano, Jennifer
dc.contributor.authorSi, Qimiao
dc.contributor.orgRice Center for Quantum Materials
dc.date.accessioned2024-10-08T13:27:47Z
dc.date.available2024-10-08T13:27:47Z
dc.date.issued2024
dc.description.abstractLattice symmetries are central to the characterization of electronic topology. Recently, it was shown that Green's function eigenvectors form a representation of the space group. This formulation has allowed the identification of gapless topological states even when quasiparticles are absent. Here we demonstrate the profundity of the framework in the extreme case, when interactions lead to a Mott insulator, through a solvable model with long-range interactions. We find that both Mott poles and zeros are subject to the symmetry constraints, and relate the symmetry-enforced spectral crossings to degeneracies of the original noninteracting eigenstates. Our results lead to new understandings of topological quantum materials and highlight the utility of interacting Green's functions toward their symmetry-based design.
dc.identifier.citationSetty, C., Sur, S., Chen, L., Xie, F., Hu, H., Paschen, S., Cano, J., & Si, Q. (2024). Symmetry constraints and spectral crossing in a Mott insulator with Green’s function zeros. Physical Review Research, 6(3), L032018. https://doi.org/10.1103/PhysRevResearch.6.L032018
dc.identifier.digitalPhysRevResearch-6-L032018
dc.identifier.doihttps://doi.org/10.1103/PhysRevResearch.6.L032018
dc.identifier.urihttps://hdl.handle.net/1911/117914
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rightsExcept where otherwise noted, this work is licensed under a Creative Commons Attribution (CC BY) license. Permission to reuse, publish, or reproduce the work beyond the terms of the license or beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleSymmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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