| Issue |
EPL
Volume 120, Number 1, October 2017
|
|
|---|---|---|
| Article Number | 17003 | |
| Number of page(s) | 5 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/120/17003 | |
| Published online | 29 December 2017 | |
Exact solution for many-body Hamiltonian of interacting particles with linear spectrum
Rzhanov Institute of Semiconductor Physics, Siberian Branch of the Russian Academy of Sciences Novosibirsk 630090, Russia and Novosibirsk State University - Novosibirsk 630090, Russia
Received: 29 September 2017
Accepted: 27 November 2017
The exact solution of the Schrödinger equation for the one-dimensional system of interacting particles with linear dispersion law in an arbitrary external field is found. The solution is reduced to two groups of particles moving with constant velocities in the opposite directions with a fixed distance between the particles in each group. The problem is applied to the edge states of the 2D topological insulator.
PACS: 73.20.-r – Electron states at surfaces and interfaces / 73.20.At – Surface states, band structure, electron density of states
© EPLA, 2017
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