title: Origin of the Large Anisotropic g Factor of Holes in Bismuth.
abstract: The ratio of the Zeeman splitting to the cyclotron energy (M=ΔE_{Z}/ℏω_{c}) 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.
authors.affiliation: Department of Engineering Science, University of Electro-Communications, Chofu, Tokyo 182-8585, Japan.
authors.forename: Yuki
authors.initials: Y
authors.lastname: Fuseya
authors.affiliation: LPEM (UPMC-CNRS), Ecole Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France.
authors.forename: Zengwei
authors.initials: Z
authors.lastname: Zhu
authors.affiliation: LPEM (UPMC-CNRS), Ecole Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France.
authors.forename: Benoît
authors.initials: B
authors.lastname: Fauqué
authors.affiliation: Department of Physics, Ewha Womans University, Seoul 120-750, Korea.
authors.forename: Woun
authors.initials: W
authors.lastname: Kang
authors.affiliation: Institut Jean Lamour (UMR 7198 CNRS, Nancy Université, UPVM), Ecole Nationale Supérieure des Mines de Nancy, 54042 Nancy, France.
authors.forename: Bertrand
authors.initials: B
authors.lastname: Lenoir
authors.affiliation: LPEM (UPMC-CNRS), Ecole Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France.
authors.forename: Kamran
authors.initials: K
authors.lastname: Behnia