English

Quadrupole Topological Insulator in Non-Hermitian Thermal Diffusion

Mesoscale and Nanoscale Physics 2022-09-22 v2

Abstract

Quantized bulk quadrupole moment has unveiled a nontrivial boundary state, exhibiting lower-dimensional topological edge states and simultaneously hosting the in-gap corner modes of zero dimension. All state-of-the-art strategies for topological thermal metamaterials have so far failed to observe such higher-order hierarchical features, since the absence of quantized bulk quadrupole moments in thermal diffusion fundamentally forbids the possible expansions of band topology, unlike its photonic counterpart. Here, we report a recipe of creating quantized bulk quadrupole moments in diffusion, and observe the quadrupole topological phases in non-Hermitian thermal systems. The experiments demonstrate that both the real- and imaginary-valued bands showcase the hierarchical hallmarks of bulk, gapped edge, and in-gap corner states, in stark contrast to the higher-order states only observed on real-valued bands in classic wave fields. Our findings open up unique possibilities for diffusive manipulations and establish an unexplored playground for multipolar topological physics.

Keywords

Cite

@article{arxiv.2206.11856,
  title  = {Quadrupole Topological Insulator in Non-Hermitian Thermal Diffusion},
  author = {Guoqiang Xu and Xue Zhou and Jing Wu and Cheng-Wei Qiu},
  journal= {arXiv preprint arXiv:2206.11856},
  year   = {2022}
}
R2 v1 2026-06-24T12:02:11.320Z