16 citations · 24 across the 4 of their papers we have counts for
4 papers
Gradient flow towards quantum states with ideal quantum geometry
T. Shiga, T. Fukui
We propose a gradient-flow method for quantum states in lattice models, generated by an action consisting of the quantum-metric and the square of the Berry curvature. These two ter…
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…
Higher-order topological heat conduction on a lattice for detection of corner states
T. Fukui, T. Yoshida, Y. Hatsugai
A heat conduction equation on a lattice composed of nodes and bonds is formulated assuming the Fourier law and the energy conservation law. Based on this equation, we propose a hig…
Streda formula for the Hofstadter-Wilson-Dirac model in two and four dimensions
T. Fukui, T. Fujiwara
We rederive the spectral asymmetry of the Wilson-Dirac model in external fields, paying attention to the Chern number due to the Berry connection. We interpret the smooth part of t…