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

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.

arXiv comment8 pages, 10 figures, v2: final version

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Cited by in corpus (5)

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• Higher-Order Topological In-Bulk Corner State in Pure Diffusion Systems
• Selectable diffusion direction with topologically protected edge modes
• Observation of Multiple Topological Corner States in Thermal Diffusion
• Multiple topological corner states in the continuum of extended kagome lattice