Volume 120, Number 3, November 2017
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|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
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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