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Topological Insulators in Amorphous Systems

Agarwala, Adhip and Shenoy, Vijay B (2017) Topological Insulators in Amorphous Systems. In: Physical Review Letters, 118 (23). ISSN 0031-9007

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Official URL: https://doi.org/10.1103/PhysRevLett.118.236402

Abstract

Much of the current understanding of topological insulators, which informs the experimental search for topological materials and systems, is based on crystalline band theory, where local electronic degrees of freedom at different crystal sites hybridize with each other in ways that produce nontrivial topology. Here we provide a novel theoretical demonstration of realizing topological phases in amorphous systems, as exemplified by a set of sites randomly located in space. We show this by constructing hopping models on such random lattices whose gapped ground states are shown to possess nontrivial topological nature (characterized by Bott indices) that manifests as quantized conductances in systems with a boundary. Our study adds a new dimension, beyond crystalline solids, to the search for topological systems by pointing to the promising possibilities in amorphous solids and other engineered random systems.

Item Type: Journal Article
Publication: Physical Review Letters
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 01 Jun 2022 06:24
Last Modified: 01 Jun 2022 06:24
URI: https://eprints.iisc.ac.in/id/eprint/73091

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