Berry phases and zero-modes in toroidal topological insulator

Jakson M. Fonseca (), Vagson L. Carvalho-Santos, Winder A. Moura-Melo and Afranio R. Pereira
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Jakson M. Fonseca: Departamento de Física, Universidade Federal de Viçosa
Vagson L. Carvalho-Santos: Instituto Federal de Educação
Winder A. Moura-Melo: Departamento de Física, Universidade Federal de Viçosa
Afranio R. Pereira: Departamento de Física, Universidade Federal de Viçosa

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 6, 1-6

Abstract: 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.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-70076-8

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