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

Fukui, Takahiro; Yoshida, Tsuneya; Hatsugai, Yasuhiro · Phys Rev E · 2023

basic_science · Level V

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Abstract

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 corner 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.