Hybridization and Field Driven Phase Transitions in Hexagonally Warped Topological Insulators

Anirudha Menon, Debashree Chowdhury, Banasri Basu
2016 SPIN  
In this paper we discuss the role of material parameters and external field effects on a thin film topological insulator(TI) in the context of quantum phase transition(QPT). First, we consider an in-plane tilted magnetic field and determine the band structure of the surface states as a function of the tilt angle. We show that the presence of either a hybridization term or hexagonal warping or a combination of both leads to a semi-metal to insulator phase transition which is facilitated by their
more » ... PT symmetry breaking character. We then note that while the introduction of an electric field does not allow for this QPT since it doesn't break PT symmetry, it can be used in conjunction with a tunneling element to reach a phase transition efficiently. The corresponding critical point is then non-trivially depend on the electric field, which is pointed out here. Then, we demonstrate that including a hexagonal warping term leads to an immediate PT symmetry violating QPT.
doi:10.1142/s2010324716400051 fatcat:5zuachsui5fazlwme5wvd6tx2e