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

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 logarithmi...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2015-09, Vol.121 (3), p.509-520
Main Authors: Repin, E. V., Burmistrov, I. S.
Format: Article
Language:English
Subjects:
Analysis
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DENSITY
EFFECTIVE MASS
Electronic Properties of Solid
Elementary Particles
MAGNETIC FIELDS
Particle and Nuclear Physics
PERTURBATION THEORY
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
SINGULARITY
Solid State Physics
SURFACES
TOPOLOGY
TUNNEL EFFECT
WKB APPROXIMATION
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Summary: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.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776115100192