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Probing Chern number by opacity and topological phase transition by a nonlocal Chern marker

Molignini, Paolo; Lapierre, Bastien; Chitra, Ramasubramanian; Chen, Wei (2023). Probing Chern number by opacity and topological phase transition by a nonlocal Chern marker. SciPost physics core, 6(3):059.

Abstract

In 2D semiconductors and insulators, the Chern number of the valence band Bloch state is an important quantity that has been linked to various material properties, such as the topological order. We elaborate that the opacity of 2D materials to circularly polarized light over a wide range of frequencies, measured in units of the fine structure constant, can be used to extract a spectral function that frequency-integrates to the Chern number, offering a simple optical experiment to measure it. This method is subsequently generalized to finite temperature and locally on every lattice site by a linear response theory, which helps to extract the Chern marker that maps the Chern number to lattice sites. The long range response in our theory corresponds to a Chern correlator that acts like the internal fluctuation of the Chern marker, and is found to be enhanced in the topologically nontrivial phase. Finally, from the Fourier transform of the valence band Berry curvature, a nonlocal Chern marker is further introduced, whose decay length diverges at topological phase transitions and therefore serves as a faithful indicator of the transitions, and moreover can be interpreted as a Wannier state correlation function. The concepts discussed in this work explore multi-faceted aspects of topology and should help address the impact of system inhomogeneities.

Additional indexing

Item Type:Journal Article, not_refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Atomic and Molecular Physics, and Optics
Physical Sciences > Nuclear and High Energy Physics
Physical Sciences > Condensed Matter Physics
Uncontrolled Keywords:Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Condensed Matter Physics
Language:English
Date:29 August 2023
Deposited On:12 Dec 2023 10:25
Last Modified:26 Sep 2024 03:43
Publisher:SciPost
ISSN:2666-9366
OA Status:Gold
Publisher DOI:https://doi.org/10.21468/scipostphyscore.6.3.059
Project Information:
  • Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico
  • Grant ID:
  • Project Title:
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  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)

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