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Non-Hermitian topological phases: principles and prospects

Banerjee, A and Sarkar, R and Dey, S and Narayan, A (2023) Non-Hermitian topological phases: principles and prospects. In: Journal of Physics Condensed Matter, 35 (33).

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Official URL: https://doi.org/10.1088/1361-648X/acd1cb


The synergy between non-Hermitian concepts and topological ideas have led to very fruitful activity in the recent years. Their interplay has resulted in a wide variety of new non-Hermitian topological phenomena being discovered. In this review, we present the key principles underpinning the topological features of non-Hermitian phases. Using paradigmatic models—Hatano-Nelson, non-Hermitian Su-Schrieffer-Heeger and non-Hermitian Chern insulator—we illustrate the central features of non-Hermitian topological systems, including exceptional points, complex energy gaps and non-Hermitian symmetry classification. We discuss the non-Hermitian skin effect and the notion of the generalized Brillouin zone, which allows restoring the bulk-boundary correspondence. Using concrete examples, we examine the role of disorder, describe the Floquet engineering, present the linear response framework, and analyze the Hall transport properties of non-Hermitian topological systems. We also survey the rapidly growing experimental advances in this field. Finally, we end by highlighting possible directions which, in our view, may be promising for explorations in the near future.

Item Type: Journal Article
Publication: Journal of Physics Condensed Matter
Publisher: Institute of Physics
Additional Information: The copyright for this article belongs to the Author.
Keywords: disorder; exceptional points; Floquet engineering; non-Hermitian skin effect; non-Hermitian systems; symmetry classes; topological phases
Department/Centre: Division of Chemical Sciences > Solid State & Structural Chemistry Unit
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 Jun 2023 06:17
Last Modified: 23 Jun 2023 06:21
URI: https://eprints.iisc.ac.in/id/eprint/82020

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