141 citations · 606 across the 28 of their papers we have counts for
5 papers · 1 filter
Vortical Quantum Memory
Kazuki Ikeda, Dmitri E. Kharzeev, Yuta Kikuchi
Quantum memory is a crucial component of a quantum information processor, just like a classical memory is a necessary ingredient of a conventional computer. Moreover, quantum memor…
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…
Comments on "Minimal Model for Fast Scrambling"
Kazuki Ikeda
I consider a spin chain with nearest-neighbor and next nearest-neighbor interactions. I show that the Hamiltonian obtained by specifying the desired combination of symmetry blocks…
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…