48 citations · 87 across the 11 of their papers we have counts for
11 papers
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…
Why magnetic monopole becomes dyon in topological insulators
Shoto Aoki, Hidenori Fukaya, Naoto Kan +2
The Witten effect predicts that a magnetic monopole acquires a fractional electric charge inside topological insulators. In this work, we give a microscopic description of this phe…
A physicist-friendly reformulation of the mod-two Atiyah-Patodi-Singer index
Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4
Gauge anomaly in 4-dimensions can be viewed as a current inflow into an extra-dimension, where the total phase of the fermion partition function is given in a gauge invariant way b…
Algebra of Hyperbolic Band Theory under Magnetic Field
Kazuki Ikeda, Yoshiyuki Matsuki, Shoto Aoki
We explore algebras associated with the hyperbolic band theory under a magnetic field for the first time. We define the magnetic Fuchsian group associated with a higher genus Riema…
Hyperbolic Band Theory under Magnetic Field and Dirac Cones on a Higher Genus Surface
Kazuki Ikeda, Shoto Aoki, Yoshiyuki Matsuki
We explore the hyperbolic band theory under a magnetic field for the first time. Our theory is a general extension of the conventional band theory defined on a Euclidean lattice in…
Fractal defect states in the Hofstadter butterfly
Yoshiyuki Matsuki, Kazuki Ikeda, Mikito Koshino
We investigate the electronic properties in the Bloch electron on a square lattice with vacancies in the uniform magnetic field. We show that a single vacancy site introduced to th…
Mod-two APS index and domain-wall fermion
Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4
We reformulate the mod-two Atiyah-Patodi-Singer (APS) index in a physicist-friendly way using the domain-wall fermion. Our new formulation is given on a closed manifold, which is e…
A lattice formulation of the Atiyah-Patodi-Singer index
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
Atiyah-Singer index theorem on a lattice without boundary is well understood owing to the seminal work by Hasenfratz et al. But its extension to the system with boundary (the so-ca…
The Anomaly Inflow of the domain-wall fermion in odd dimension
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +3
In 1985, Callan and Harvey showed a view of gauge anomaly as a missing current into an extra-dimension, and the total contribution, including the Chern-Simons current in the bulk,…
Atiyah-Patodi-Singer index on a lattice
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
We propose a non-perturbative formulation of the Atiyah-Patodi-Singer(APS) index in lattice gauge theory, in which the index is given by the invariant of the domain-wall Dirac…
Comments on the Fractal Energy Spectrum of Honeycomb Lattice with Defects
Yoshiyuki Matsuki, Kazuki Ikeda
We address the energy spectrum of honeycomb lattice with various defects or impurities under a perpendicular magnetic field. We use a tight-binding Hamiltonian including interactio…