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Topological phase transition in a disordered elastic quantum spin Hall system

Shi, X and Chaunsali, R and Theocharis, G and Huang, H and Zhu, R and Yang, J (2023) Topological phase transition in a disordered elastic quantum spin Hall system. In: Physical Review B, 108 (5).

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Official URL: https://doi.org/10.1103/PhysRevB.108.054205


We investigate the effect of disorder on topologically nontrivial states in a two-dimensional (2D) mechanical system. We first propose a quantum spin Hall (QSH) insulator based on an out-of-plane spring-mass model and analytically study the interplay between the disorder and topology in both topologically trivial and nontrivial systems. We adopt the spin Bott index to characterize the topological property in disordered mechanical systems. By tracking the evolution of the spin Bott index with the increase of disorders, we quantitatively demonstrate the disorder induced transition from a topologically nontrivial QSH insulator to a trivial insulator. We then validate the topological phase transition through transient analysis in discrete lattices. Finally, we design a phononic crystal based on the discrete spring-mass model and numerically verify the topologically protected states along the boundary between the trivial insulator and disordered topological QSH insulator in a continuous system. This work puts a step forward in understanding the role of disorder in a 2D topological classical system. © 2023 American Physical Society.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Quantum Hall effect; Quantum theory; Spin Hall effect; Topology, Hall systems; Induced transitions; Mechanical systems; Out-of-plane; Quantum spin halls; Spin hall insulator; Spring-Mass model; Topological phase; Topological properties; Two-dimensional, Transient analysis
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 17 Dec 2023 09:19
Last Modified: 17 Dec 2023 09:19
URI: https://eprints.iisc.ac.in/id/eprint/83452

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