Unusual frequency of quantum oscillations in strongly particle-hole asymmetric insulators

Hridis K. Pal
Phys. Rev. B 96, 235121 – Published 13 December 2017
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Abstract

Quantum oscillations, conventionally thought to be a metallic property, have recently been shown to arise in certain kinds of insulators, with properties very different from those in metals. All departures from the canonical behavior found so far appear in the amplitude and the phase but not in the frequency. Here I show that such robustness in the behavior of the frequency is only valid for a particle-hole symmetric insulator; in a strongly particle-hole asymmetric insulator, de Haas–van Alphen oscillations (oscillations in magnetization and susceptibility) and Shubnikov–de Haas oscillations (oscillations in the density of states) exhibit different frequencies, with the frequency of the latter changing with temperature. I demonstrate these effects with numerical calculations on a lattice model, and provide a theory to account for the unusual behavior. The relevance of the theory in the context of recent experiments on SmB6 is discussed.

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  • Received 28 June 2017

DOI:https://doi.org/10.1103/PhysRevB.96.235121

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Hridis K. Pal*

  • LPS, CNRS UMR 8502, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay Cedex, France

  • *hridis.pal@physics.gatech.edu

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Issue

Vol. 96, Iss. 23 — 15 December 2017

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