Surface states in a 3D topological insulator: The role of hexagonal warping and curvature

Journal Article · Tue Sep 15 00:00:00 EDT 2015 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776115100192· OSTI ID:22472071

Repin, E. V.

We explore a combined effect of hexagonal warping and a finite effective mass on both the tunneling density of electronic surface states and the structure of Landau levels of 3D topological insulators. We find the increasing warping to transform the square-root van Hove singularity into a logarithmic one. For moderate warping, an additional logarithmic singularity and a jump in the tunneling density of surface states appear. By combining the perturbation theory and the WKB approximation, we calculate the Landau levels in the presence of hexagonal warping. We predict that due to the degeneracy removal, the evolution of Landau levels in the magnetic field is drastically modified.

• OSTI ID: 22472071
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 121, Issue 3; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY
EFFECTIVE MASS
MAGNETIC FIELDS
PERTURBATION THEORY
SINGULARITY
SURFACES
TOPOLOGY
TUNNEL EFFECT
WKB APPROXIMATION