Measuring the Chern number with quantum oscillations

Wright, Anthony R. (2013) Measuring the Chern number with quantum oscillations. Physical Review B, 87 8: 085426.1-085426.5. doi:10.1103/PhysRevB.87.085426

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Author Wright, Anthony R.
Title Measuring the Chern number with quantum oscillations
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
Publication date 2013-02
Year available 2013
Sub-type Article (original research)
DOI 10.1103/PhysRevB.87.085426
Open Access Status File (Publisher version)
Volume 87
Issue 8
Start page 085426.1
End page 085426.5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2014
Language eng
Abstract A peculiar feature of the majority of three-dimensional topological insulator surface states studied experimentally thus far, namely their particle-hole asymmetry, makes quantum oscillations (Shubnikov-de Haas and de Haas-van Alphen oscillations) in these materials particularly rich. I show that this peculiarity can be exploited to measure the Chern number and detect topological phase transitions in topological insulator surface states from the quantum spin Hall phase to the quantum anomalous Hall phase. I consider the behavior of quantum oscillations in topological insulator thin-film surface states in the presence of a topological exciton condensate or hybridization between the two surfaces. As a function of Zeeman field, the Chern number and phase transition from a quantum spin Hall to a quantum anomalous Hall phase can be measured using standard techniques. This effect relies necessarily on the particle-hole asymmetry, which is ubiquitous in currently known materials that exhibit topological insulator surface states.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
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Citation counts: TR Web of Science Citation Count  Cited 5 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 6 times in Scopus Article | Citations
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