Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2016-05-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.4943416 |
| _version_ | 1828847098331660288 |
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| author | Zhuo Bin Siu Seng Ghee Tan Mansoor B. A. Jalil |
| author_facet | Zhuo Bin Siu Seng Ghee Tan Mansoor B. A. Jalil |
| author_sort | Zhuo Bin Siu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T22:01:34Z |
| format | Article |
| id | doaj.art-f2a2de8268ac4a4983daf45d7dcc2404 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-12T22:01:34Z |
| publishDate | 2016-05-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-f2a2de8268ac4a4983daf45d7dcc24042022-12-22T00:10:30ZengAIP Publishing LLCAIP Advances2158-32262016-05-0165055706055706-710.1063/1.4943416075691ADVEffective Hamiltonian for surface states of topological insulator thin films with hexagonal warpingZhuo Bin Siu0Seng Ghee Tan1Mansoor B. A. Jalil2Computational Nanoelectronics and Nanodevices Laboratory, Electrical and Computer Engineering Department, National University of Singapore, SingaporeData Storage Institute, Agency for Science, Technology and Research (A*STAR), SingaporeComputational Nanoelectronics and Nanodevices Laboratory, Electrical and Computer Engineering Department, National University of Singapore, SingaporeThe 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.http://dx.doi.org/10.1063/1.4943416 |
| spellingShingle | Zhuo Bin Siu Seng Ghee Tan Mansoor B. A. Jalil Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping AIP Advances |
| title | Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping |
| title_full | Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping |
| title_fullStr | Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping |
| title_full_unstemmed | Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping |
| title_short | Effective Hamiltonian for surface states of topological insulator thin films with hexagonal warping |
| title_sort | effective hamiltonian for surface states of topological insulator thin films with hexagonal warping |
| url | http://dx.doi.org/10.1063/1.4943416 |
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