Signature of non-trivial band topology in Shubnikov--de Haas oscillations

Denis R Candido; Sigurdur I Erlingsson; João Vitor I Costa; J. Carlos Egues

doi:10.48550/arxiv.2406.08977

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Signature of non-trivial band topology in Shubnikov--de Haas oscillations

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Signature of non-trivial band topology in Shubnikov--de Haas oscillations

Denis R Candido, Sigurdur I Erlingsson, João Vitor I Costa and J. Carlos Egues

arXiv.org

Cornell University

06/13/2024

DOI: 10.48550/arxiv.2406.08977

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We investigate the Shubnikov-de Haas (SdH) magneto-oscillations in the resistivity of two-dimensional topological insulators (TIs). Within the Bernevig-Hughes-Zhang (BHZ) model for TIs in the presence of a quantizing magnetic field, we obtain analytical expressions for the SdH oscillations by combining a semiclassical approach for the resistivity and a trace formula for the density of states. We show that when the non-trivial topology is produced by inverted bands with ''Mexican-hat'' shape, SdH oscillations show an anomalous beating pattern that is {\it solely} due to the non-trivial topology of the system. These beatings are robust against, and distinct from beatings originating from spin-orbit interactions. This provides a direct way to experimentally probe the non-trivial topology of 2D TIs entirely from a bulk measurement. Furthermore, the Fourier transform of the SdH oscillations as a function of the Fermi energy and quantum capacitance models allows for extracting both the topological gap and gap at zero momentum.

Physics - Mesoscale and Nanoscale Physics

Details

Title: Subtitle: Signature of non-trivial band topology in Shubnikov--de Haas oscillations
Creators: Denis R Candido - University of Iowa
Sigurdur I Erlingsson
João Vitor I Costa - Universidade de São Paulo
J. Carlos Egues - Universidade de São Paulo
Resource Type: Preprint
Publication Details: arXiv.org
DOI: 10.48550/arxiv.2406.08977
eISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 06/13/2024
Academic Unit: Physics and Astronomy
Record Identifier: 9984643760302771

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