| | |
| | |
Stat |
Members: 3645 Articles: 2'503'724 Articles rated: 2609
23 April 2024 |
|
| | | |
|
Article overview
| |
|
Model Hamiltonian for Topological Insulators | Chao-Xing Liu
; Xiao-Liang Qi
; HaiJun Zhang
; Xi Dai
; Zhong Fang
; Shou-Cheng Zhang
; | Date: |
11 May 2010 | Abstract: | In this paper we give the full microscopic derivation of the model
Hamiltonian for the three dimensional topological insulators in the $Bi_2Se_3$
family of materials ($Bi_2Se_3$, $Bi_2Te_3$ and $Sb_2Te_3$). We first give a
physical picture to understand the electronic structure by analyzing atomic
orbitals and applying symmetry principles. Subsequently, we give the full
microscopic derivation of the model Hamiltonian introduced by Zhang {it et
al}~[onlinecite{zhang2009}] based both on symmetry principles and the ${f
k}cdot{f p}$ perturbation theory. Two different types of $k^3$ terms, which
break the in-plane full rotation symmetry down to three fold rotation symmetry,
are taken into account. Effective Hamiltonian is derived for the topological
surface states. Both the bulk and the surface models are investigated in the
presence of an external magnetic field, and the associated Landau level
structure is presented. For more quantitative fitting to the first principle
calculations, we also present a new model Hamiltonian including eight energy
bands. | Source: | arXiv, 1005.1682 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |