Higher-order topological heat conduction on a lattice for detection of corner states

Autor: Fukui, T., Yoshida, T., Hatsugai, Y.
Rok vydání: 2023
Předmět:
Zdroj: Phys. Rev. E 108, 024112 (2023)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.108.024112
Popis: 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 higher-order topological heat conduction model on the breathing kagome lattice. We show that the temperature measurement at a conner node can detect the corner state which causes rapid heat conduction toward the heat bath, and that several-nodes measurement can determine the precise energy of the corner states.
Comment: 8 pages, 10 figures, v2: final version
Databáze: arXiv