A Microscopic study of Magnetic monopoles in Topological Insulators
N. Kan*,
S. Aoki,
H. Fukaya,
M. Koshino and
Y. Matsuki*: corresponding author
Pre-published on:
May 07, 2024
Published on:
November 06, 2024
Abstract
In this article, we analyze a magnetic monopole in topological insulators. The monopole obtain a fractional electric charge because of the Witten effect. We consider this system with a microscopic view by adding the Wilson term to the ordinary Dirac Hamiltonian. The Wilson term yields the positive mass shift to the effective mass of the electrons, then the curved domain-wall is dynamically generated around the monopole. The zero-modes of the electrons are localized on the domain-wall, which can be identified as the source of the electric charge.
DOI: https://doi.org/10.22323/1.453.0363
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