Origin of the Large Anisotropic g Factor of Holes in Bismuth

Yuki Fuseya, Zengwei Zhu, Benoît Fauqué, Woun Kang, Bertrand Lenoir, and Kamran Behnia
Phys. Rev. Lett. 115, 216401 – Published 16 November 2015
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Abstract

The ratio of the Zeeman splitting to the cyclotron energy (M=ΔEZ/ωc) for holelike carriers in bismuth has been quantified with great precision by many experiments performed during the past five decades. It exceeds 2 when the magnetic field is along the trigonal axis and vanishes in the perpendicular configuration. Theoretically, however, M is expected to be isotropic and equal to unity in a two-band Dirac model. We argue that a solution to this half-a-century-old puzzle can be found by extending the k·p theory to multiple bands. Our model not only gives a quantitative account of the magnitude and anisotropy of M for holelike carriers in bismuth, but also explains its contrasting evolution with antimony doping and pressure, both probed by new experiments reported here. The present results have important implications for the magnitude and anisotropy of M in other systems with strong spin-orbit coupling.

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  • Received 20 July 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.216401

© 2015 American Physical Society

Authors & Affiliations

Yuki Fuseya1,*, Zengwei Zhu2, Benoît Fauqué2, Woun Kang3, Bertrand Lenoir4, and Kamran Behnia2

  • 1Department of Engineering Science, University of Electro-Communications, Chofu, Tokyo 182-8585, Japan
  • 2LPEM (UPMC-CNRS), Ecole Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France
  • 3Department of Physics, Ewha Womans University, Seoul 120-750, Korea
  • 4Institut Jean Lamour (UMR 7198 CNRS, Nancy Université, UPVM), Ecole Nationale Supérieure des Mines de Nancy, 54042 Nancy, France

  • *fuseya@pc.uec.ac.jp

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Vol. 115, Iss. 21 — 20 November 2015

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