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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