3 papers
cond-mat.mes-hall2026
Gradient flow and Bogomolny bounds for quantum metric actions
T. Fukui
We formulate gradient flow dynamics generated by two natural actions of the quantum metric for an isolated set of Bloch bands. Specializing to two spatial dimensions, we derive Bog…
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…