1.4k citations · 2.9k across the 50 of their papers we have counts for
50 papers
Chern numbers associated with the periodic Toda lattice
K. Sato, T. Fukui
The periodic Toda lattice is solved by exploiting the spectral properties of the Lax operator, in which the boundary states play an important role. We show that these boundary stat…
Moiré Landau levels of a -symmetric twisted bilayer system in the absence of a magnetic field
Y. Soeda, K. Asaga, T. Fukui
It is widely known that the twisted bilayer graphene (TBG) shows flat bands at magic angles, which can be well described by the effective continuum model derived by Bistritzer and…
Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
S. Makino, T. Fukui, T. Yoshida +1
We propose a one-dimensional (1D) diffusion equation (heat equation) for systems in which the diffusion constant (thermal diffusivity) varies alternately with a spatial period .…
Diophantine equation for the Rice-Mele model: Topological aspect of filling numbers and associated spatial pump
K. Asaga, T. Fukui
We introduce a long-period generic spatial modulation into a typical model of the Thouless pump, namely, the Rice--Mele (RM) model, to examine the lattice analog of the fermion cha…
Theory of edge states based on the hermiticity of tight-binding Hamiltonian operators
T. Fukui
We develop a theory of edge states based on the Hermiticity of Hamiltonian operators for tight-binding models defined on lattices with boundaries. We describe Hamiltonians using sh…
Boundary-obstructed topological phases of a massive Dirac fermion in a magnetic field
K. Asaga, T. Fukui
It is known that in some higher-order topological insulators (HOTIs), topological phases are distinguished not by gap closings of bulk states but by those of edge states, which are…