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arXiv · 2110.11455

Topological Insulators Quantum Mechanics

J. Gamboa·F. Mendez
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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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J. Gamboa, F. Mendez. 2021-10-21. Topological Insulators Quantum Mechanics. https://arxiv.org/abs/2110.11455

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