Two-Dimensional Thermal Regulation Based on Non-Hermitian Skin Effect

Abstract

The non-Hermitian skin effect has been applied in multiple fields. However, there are relatively few models in the field of thermal diffusion that utilize the non-Hermitian skin effect for achieving thermal regulation. Here, we propose two non-Hermitian Su-Schrieffer-Heeger (SSH) models for thermal regulation: one capable of achieving edge states, and the other capable of achieving corner states within the thermal field. By analyzing the energy band structures and the generalized Brillouin zone, we predict the appearance of the non-Hermitian skin effect in these two models. Furthermore, we analyze the time-dependent evolution results and assess the robustness of the models. The results indicate that the localized thermal effects of the models align with our predictions. In summary, this work presents two models based on the non-Hermitian skin effect for regulating the thermal field, injecting vitality into the design of non-Hermitian thermal diffusion systems.

Spatiotemporal diffusion metamaterials: Theories and applications

“…37,58,59 Hamiltonian description 60 is another efficient method for wavelike diffusion fields, which reveals non-Hermitian characteristics unique to traditional convection. 61 Many intriguing phenomena, such as topological edge states 40,[62][63][64] and skin effect, [65][66][67] are proposed through constructing an effective Hamiltonian, opening a new avenue to thermal diffusion behavior.…”

Hybrid Skin-Topological Effect Induced by Eight-Site Cells and Arbitrary Adjustment of the Localization of Topological Edge States

“…DOI: 10.1088/0256-307X/41/3/037103 Compared with Hermitian systems, non-Hermitian systems are more suitable for simulating open physical systems in real life; thus, extensive research has been conducted on various aspects of these systems, including non-Bloch bulk-boundary correspondence, [1][2][3][4][5][6][7] non-Bloch topological invariants, [1,3,4,6,8,9] generalized Brillouin zones, [1,4,8,10] non-Hermitian skin effects, [1,3,[6][7][8][9][10][11][12][13][14][15] exceptional points (EPs), [1,4,5,13,16] and higher-order topology. [12,17,18] To describe the topological properties of both Hermitian and non-Hermitian systems in real space, different topological invariants, such as the Chern number, [8,9,[19][20][21] Bott index, [9,[22][23][24] and quantized quadrupole moment 𝑄𝑥𝑦,…”

“…[12,17,18] To describe the topological properties of both Hermitian and non-Hermitian systems in real space, different topological invariants, such as the Chern number, [8,9,[19][20][21] Bott index, [9,[22][23][24] and quantized quadrupole moment 𝑄𝑥𝑦, [25][26][27] have been analyzed. The study of non-Hermitian systems has been extended beyond electronic models to encompass other physical systems, such as cold atoms, [28] circuits, [11,29] optics, [30][31][32][33][34][35][36][37] acoustics, [38,39] and thermal diffusion, [13,15,40] providing theoretical bases [11,13,15,28,[30][31][32][33][34][35][36][37][38][39][40] and experimental verifications [29,…”

“…The non-Hermitic skin effect can be characterized by the winding number [1,3,[6][7][8][9][10][11][12]14,15] or auxiliary Hamiltonian. [12,45] In a periodic system, the auxiliary Hamiltonian is…”

Topological Plasma Transport from a Diffusion View

“…This design aids in the realization of the tight-binding model within the diffusion system. [40,41] Additionally, alternating and equal-but-opposite circular electric fields are applied to adjacent rings to maintain the APT symmetry. The equivalent tight-binding model for this structure is shown in Fig.…”