Related papers: Topological Insulators Quantum Mechanics

Topological Insulators Quantum Mechanics

URL: http://arxiv.org/abs/2110.11455v2
Date: Mon, 11 Apr 2022 22:46:43 GMT
Title: Topological Insulators Quantum Mechanics
Authors: J. Gamboa and F. Mendez
Abstract summary: Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure and we show that it is equivalent to the appearance of a $SU(2)$ connection. The procedure presented in this letter is general and valid for any three-dimensional quantum system. The approach allows -- in principle -- to study a wide range of topological insulators as standard quantum mechanical problems. As an illustration the three-dimensional harmonic oscillator and the Aharonov-Bohm effect are studied in detail.

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