48 citations · 135 across the 22 of their papers we have counts for
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hep-lat2021
Chiral fermion on curved domain-wall
Shoto Aoki, Hidenori Fukaya
We consider a massive fermion system having a curved domain-wall embedded in a square lattice. In a similar way to the conventional flat domain-wall fermion, chiral massless modes…
math-ph2021★ 8 cited
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…
cond-mat.mes-hall2021★ 48 cited
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…