Abstract
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.
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