13 citations · 16 across the 14 of their papers we have counts for
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The index of lattice Dirac operators and -theory
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We mathematically show an equality between the index of a Dirac operator on a flat continuum torus and the invariant of a lattice Dirac operator known as the Wilson Dirac opera…
A lattice regularization of Weyl fermions in a gravitational background
Shoto Aoki, Hidenori Fukaya, Naoto Kan
We report on a lattice fermion formulation with a curved domain-wall mass term to nonperturbatively describe fermions in a gravitational background. In our previous work in 2022, w…
A lattice formulation of Weyl fermions on a single curved surface
Shoto Aoki, Hidenori Fukaya, Naoto Kan
In the standard lattice domain-wall fermion formulation, one needs two flat domain-walls where both of the left- and right-handed massless modes appear. In this work we investigate…
A Microscopic study of Magnetic monopoles in Topological Insulators
Shoto Aoki, Hidenori Fukaya, Naoto Kan +2
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 wi…