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Area of Science:

  • Condensed matter physics
  • Thermal transport
  • Topological physics

Background:

  • Higher-order topological insulators (HOTIs) exhibit unique boundary states at corners and hinges.
  • Research has extended HOTIs from electronic systems to thermal diffusion.
  • Existing thermal HOTIs lack corner states embedded within bulk states.

Purpose of the Study:

  • To construct and investigate novel "in-bulk corner states" in thermal diffusion systems.
  • To explore the thermal behavior of these newly identified corner states.
  • To differentiate the thermal properties of in-bulk versus in-gap corner states.

Main Methods:

  • Development of higher-dimensional Su-Schrieffer-Heeger models using sphere-rod structures.
  • Theoretical calculations to analyze the diffusive Hamiltonian.
  • Numerical simulations and experimental validation.
  • Comparative analysis of thermal transport properties.

Main Results:

  • Successfully constructed higher-dimensional models exhibiting "in-bulk corner states" in thermal diffusion.
  • Demonstrated the existence and characteristics of these novel corner states.
  • Observed distinct thermal behaviors between in-bulk and in-gap corner states.

Conclusions:

  • The study introduces a new class of topological states, "in-bulk corner states," in thermal diffusion systems.
  • This work expands the understanding of topological phenomena beyond electronic systems.
  • The findings pave the way for novel applications in thermal management and heat dissipation.