496 citations · 2k across the 70 of their papers we have counts for
70 papers
Periodic Landau gauge and Quantum Hall effect in twisted bilayer graphene
Yasumasa Hasegawa, Mahito Kohmoto
Energy versus magnetic field (Hofstadter butterfly diagram) in twisted bilayer graphene is studied theoretically. If we take the usual Landau gauge, we cannot take a finite periodi…
The Spectral Shift Function and The Friedel Sum Rule
Mahito Kohmoto, Tohru Koma, Shu Nakamura
We study the relationship between the spectral shift function and the excess charge in potential scattering theory. Although these quantities are closely related to each other, the…
Multifractals Competing with Solitons on Fibonacci Optical Lattice
M. Takahashi, H. Katsura, M. Kohmoto +1
We study the stationary states for the nonlinear Schrödinger equation on the Fibonacci lattice which is expected to be realized by Bose-Einstein condensates loaded into an optical…
Edge states and topological phases in non-Hermitian systems
Kenta Esaki, Masatoshi Sato, Kazuki Hasebe +1
Topological stability of the edge states is investigated for non-Hermitian systems. We examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in weak…
Time-Reversal Symmetry in Non-Hermitian Systems
Masatoshi Sato, Kazuki Hasebe, Kenta Esaki +1
For ordinary hermitian Hamiltonians, the states show the Kramers degeneracy when the system has a half-odd-integer spin and the time reversal operator obeys Θ^2=-1, but no such a d…
Electric-field induced penetration of edge states at the interface between monolayer and bilayer graphene
Yasumasa Hasegawa, Mahito Kohmoto
The edge states in the hybrid system of single-layer and double-layer graphene are studied in the tight-binding model theoretically. The edge states in one side of the interface be…