Magnetoconductivity of Dirac electrons in bismuth

International Workshop on Dirac Electrons in Solids 2015

Owada, Mitsuaki^1 ; Fuseya, Yuki^1

Department of Engineering Science, University of Electro-Communications, Chofu, Tokyo

182-8585, Japan^1

关键词: Dirac electrons;    High field;    Kubo formula;    Linear magnetoresistance;    Low magnetic fields;    Magneto-conductivity;    Realistic model;    Semiclassical theories;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/603/1/012023/pdf
DOI  :  10.1088/1742-6596/603/1/012023

来源: IOP

【 摘 要 】

The magnetoconductivity of bismuth is theoretically investigated on the basis of the Kubo formula to interpret the longstanding mystery of linear magnetoresistance in bismuth. First, the magnetoconductivity for the isotropic Dirac model is studied. It is found that the inverse magnetoconductivity increases quadratically at low magnetic fields and is saturated at high fields. This high field property is in contrast to that obtained by the semiclassical theory, where the inverse magnetoconductivity keeps quadratic increase. Next, the magnetoconductivity for the extended Dirac model, which is a realistic model for bismuth, is studied. The inverse magnetoconductivity so obtained is not saturated, but is reduced at high fields. Implications of present results to the linear magnetoresistivity of bismuth are discussed.