249 citations · 588 across the 15 of their papers we have counts for
6 papers · 1 filter
Distribution of spectral-flow gaps in the Rashba model with disorder: a new universality
Daijiro Tobe, Mahito Kohmoto, Masatoshi Sato +1
We report a study of disordered electron systems with spin-orbit coupling on a cylinder using methods of random matrix ensembles. With a threading flux turned on, the single partic…
Adiabatic Process and Chern Numbers
Jun Goryo, Mahito Kohmoto
We study quantum processes with two or more adiabatic parameters. When the parameters are compactified, a derivative of the Hamiltonian gives a first Chern number, hence an integer…
Zero modes of tight binding electrons on the honeycomb lattice
Yasumasa Hasegawa, Rikio Konno, Hiroki Nakano +1
Tight binding electrons on the honeycomb lattice are studied where nearest neighbor hoppings in the three directions are and , respectively. For the isotropic case,…
Braid Group, Gauge Invariance and Topological Order
Masatoshi Sato, Mahito Kohmoto, Yong-Shi Wu
Topological order in two-dimensional systems is studied by combining the braid group formalism with a gauge invariance analysis. We show that flux insertions (or large gauge transf…
Hofstadter Problem on the Honeycomb and Triangular Lattices: Bethe Ansatz Solution
M. Kohmoto, A. Sedrakyan
We consider Bloch electrons on the honeycomb lattice under a uniform magnetic field with flux per cell. It is shown that the problem factorizes to two triangular lattices.…
Quantum Hall effect and the topological number in graphene
Yasumasa Hasegawa, Mahito Kohmoto
Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as , whe…