48 citations · 87 across the 11 of their papers we have counts for
4 papers · 1 filter
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…