Berry phases and zero-modes in toroidal topological insulator
arXiv:1509.00784 · doi:10.1140/epjb/e2016-70076-8
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.
New version, accepted for publication in EPJB, 6 pages, 1 figure
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