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Title: Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping
Authors: Siu, Z.B 
Tan, S.G
Jalil, M.B.A 
Keywords: Electric insulators
Semiconducting selenium compounds
Surface states
Thin films
Circular cross-sections
Constant energy
Dirac fermions
Dispersion relations
Effective Hamiltonian
Equal energy
Semi-infinite slab
Topological insulators
Issue Date: 2016
Citation: Siu, Z.B, Tan, S.G, Jalil, M.B.A (2016). Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping. AIP Advances 6 (5) : 55706. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: The effective Hamiltonian of the surface states on semi-infinite slabs of the topological insulators (TI) Bi2Te3 and Bi2Se3 require the addition of a cubic momentum hexagonal warping term on top of the usual Dirac fermion Hamiltonian in order to reproduce the experimentally measured constant energy contours at intermediate values of Fermi energy. In this work, we derive the effective Hamiltonian for the surface states of a Bi2Se3 thin film incorporating the corresponding hexagonal warping terms. We then calculate the dispersion relation of the effective Hamiltonian and show that the hexagonal warping leads distorts the equal energy contours from the circular cross sections of the Dirac cones. @ 2016 Author(s).
Source Title: AIP Advances
ISSN: 21583226
DOI: 10.1063/1.4943416
Rights: Attribution 4.0 International
Appears in Collections:Staff Publications

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