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arXiv · 2303.08402

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

T. Fukui·T. Yoshida·Y. Hatsugai
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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 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.

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T. Fukui, T. Yoshida, Y. Hatsugai. 2023-03-15. Higher-order topological heat conduction on a lattice for detection of corner states. https://doi.org/10.1103/physreve.108.024112

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