Quantum magnetotransport for the surface states of three-dimensional topological insulators in the presence of a Zeeman field
PSE Division, KAUST - Thuwal 23955-6900, Kingdom of Saudi Arabia
Received: 24 January 2013
Accepted: 9 May 2013
We show that the surface states of magnetic topological insulators realize an activated behavior and Shubnikov de Haas oscillations. Applying an external magnetic field perpendicular to the surface of the topological insulator in the presence of Zeeman interaction, we investigate the opening of a gap at the Dirac point, making the surface Dirac fermions massive, and the effects on the transport properties. Analytical expressions are derived for the collisional conductivity for elastic impurity scattering in the first Born approximation. We also calculate the Hall conductivity using the Kubo formalism. Evidence for a transition from gapless to gapped surface states at n = 0 and activated transport is found from the temperature and magnetic-field dependence of the collisional and Hall conductivities.
PACS: 71.10.Ca – Electron gas, Fermi gas / 72.15.Gd – Galvanomagnetic and other magnetotransport effects / 72.20.My – Galvanomagnetic and other magnetotransport effects
© EPLA, 2013