Higher-order topological heat conduction on a lattice for detection of corner states
Takahiro Fukui, Tsuneya Yoshida, Yasuhiro Hatsugai
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.
Topics & Concepts
Thermal conductionLattice (music)PhysicsFourier numberHeat equationCondensed matter physicsFourier transformMaterials scienceTopology (electrical circuits)MechanicsThermodynamicsHeat transferQuantum mechanicsMathematicsHeat fluxAcousticsCombinatoricsTopological Materials and PhenomenaAdvanced Condensed Matter PhysicsQuantum many-body systems