Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth
Yuki Fuseya, Masao Ogata, and Hidetoshi Fukuyama

TL;DR
This paper investigates how magnetic fields influence the Hall effects in Dirac electrons in bismuth, revealing unconventional interband contributions that cause sharp peaks and sign changes in the Hall coefficient near band edges.
Contribution
It uncovers novel interband effects of magnetic fields on Hall conductivity in Dirac electron systems, especially near band edges, with implications for bismuth alloys.
Findings
Unconventional interband contributions to Hall conductivity near band edges.
Sharp peak and sign change in Hall coefficient in the band gap region.
Implications for understanding Hall effects in bismuth alloys.
Abstract
Hall effects are investigated for three-dimensional Dirac electrons as a model of bismuth alloys. It is found that there is unconventional contributions to the Hall conductivity generated by the interband effects of a magnetic field. This phenomena is remarkable near the band-edge. The Hall coefficient exhibits two unexpected properties; a sharp peak at around the band-edges, and a drastic sign change in the band gap region. Implications of the present results to bismuth alloys are discussed.
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