Long-range coupling and topological edge states in thermal diffusion lattices
Phys. Rev. Applied 25, 024004 – Published 2 February, 2026
DOI: https://doi.org/10.1103/jprj-749c
Abstract
Periodic lattice structures offer a universal platform for investigating transport dynamics and topological properties across a broad range of physical systems. Although topological effects have been explored extensively in quantum and classical wave platforms, investigations specifically into thermal lattices are just beginning, where conventional discrete models face intrinsic limitations. Here, we find that long-range coupling naturally arises in thermal diffusion lattices due to the nonlocality of thermal fields, even in the absence of macroscopic long-range pathways. By incorporating linear temperature profiles within each site and coupling rod, we construct an extended tight-binding model that accurately captures both nearest and effective next-nearest-neighbor couplings. Furthermore, controlled tuning of the structural parameters enables the emergence of topological edge states driven by next-nearest-neighbor coupling. This work provides a general framework for accurately modeling thermal diffusion systems and offers a mechanism for designing heat transfer topological effects based on long-range interactions, opening avenues for exploring topological physics in diffusive media.
