Berry phases and zero-modes in toroidal topological insulator
Strongly Correlated Electrons
2016-06-21 v2 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.1509.00784,
title = {Berry phases and zero-modes in toroidal topological insulator},
author = {J. M. Fonseca and V. L. Carvalho-Santos and W. A. Moura-Melo and A. R. Pereira},
journal= {arXiv preprint arXiv:1509.00784},
year = {2016}
}
Comments
New version, accepted for publication in EPJB, 6 pages, 1 figure