| Issue |
EPL
Volume 120, Number 3, November 2017
|
|
|---|---|---|
| Article Number | 37003 | |
| Number of page(s) | 5 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/120/37003 | |
| Published online | 18 January 2018 | |
Edge states on the curved boundary of a 2D topological insulator
Rzhanov Institute of Semiconductor Physics, Siberian Branch of the Russian Academy of Sciences Novosibirsk, 630090, Russia and Novosibirsk State University - Novosibirsk, 630090, Russia
(a) entin@isp.nsc.ru
Received: 27 October 2017
Accepted: 5 January 2018
The adiabatic 
Hamiltonian for the edge states on the curved boundary of a 2D topological insulator (TI) is deduced from the 
Volkov-Pankratov Hamiltonian of 2D TI. The self-energy obeys linear dependence on the edge momentum. It is shown that in the case of a close edge the longitudinal momentum is quantized by 
, where L is the edge length, n is integer. The results are supported by the exact solution of the Schrödinger equation for the TI disk inserted into an ordinary 2D insulator.
PACS: 73.22.Gk – Broken symmetry phases / 73.21.Fg – Quantum wells / 73.61.Ga – II-VI semiconductors
© EPLA, 2018
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