3 papers
cond-mat.mes-hall2025
Real-space representation of the second Chern number
T. Shiina, F. Hamano, T. Fukui
We extend Kitaev's real-space formulation of the first Chern number to the second Chern number and establish a computational framework for its evaluation. To test its validity, we…
cond-mat.mes-hall2025
A formally exact real-space representation of the Berry phase on infinite lattices: Applications to dipole and quadrupole moments
Y. Onaya, F. Hamano, T. Fukui
Inspired by Kitaev's real-space representation of Chern numbers, we develop a real-space formulation of the Berry phase for infinite lattices. While the well-known Resta formula fo…
nlin.CD2024
Flow of unitary matrices: Real-space winding numbers in one and three dimensions
F. Hamano, T. Fukui
The notion of the flow introduced by Kitaev is a manifestly topological formulation of the winding number on a real lattice. First, we show in this paper that the flow is quite use…