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arXiv · 1509.00784

Berry phases and zero-modes in toroidal topological insulator

J. M. Fonseca·V. L. Carvalho-Santos·W. A. Moura-Melo·A. R. Pereira
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Abstract

An effective Hamiltonian describing the surface states of a toroidal topological insulator is obtained, and it is shown to support both bound-states and charged zero-modes. Actually, the spin connection induced by the toroidal curvature can be viewed as an position-dependent effective vector potential, which ultimately yields the zero-modes whose wave-functions harmonically oscillate around the toroidal surface. In addition, two distinct Berry phases are predicted to take place by the virtue of the toroidal topology.

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J. M. Fonseca, V. L. Carvalho-Santos, W. A. Moura-Melo, A. R. Pereira. 2015-09-02. Berry phases and zero-modes in toroidal topological insulator. https://doi.org/10.1140/epjb/e2016-70076-8

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