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Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases

Bhattacharjee, S and Bandyopadhyay, S and Sen, D and Dutta, A (2021) Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases. In: Physical Review B, 103 (22).

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Official URL: https://doi.org/10.1103/PhysRevB.103.224304


We present a complete topological characterization of a bilayer composite of two Chern insulators (specifically, Haldane models) and explicitly establish the bulk-boundary correspondences. We show that an appropriately defined Chern number accurately maps out all the possible phases of the system and remains well defined even in the presence of degeneracies in the occupied bands. Importantly, our result paves the way for realizing adiabatic preparation of monolayer Chern insulators. This has been a major challenge to date, given the impossibility of unitarily connecting inequivalent topological phases. We show that this difficulty can be circumvented by adiabatically varying the interlayer coupling in such a way that the system remains gapped at all times. In particular, complete knowledge of the phase diagram of the bilayer composite immediately allows one to identify all such adiabatic passages which may connect the different Chern inequivalent phases of the individual monolayers. © 2021 American Physical Society.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to Authors
Keywords: Monolayers, Adiabatic passages; Bi-layer; Bilayer composites; Chern numbers; Haldane; Haldane model; Interlayer coupling; Topological phasis, Topology
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 12 Aug 2021 10:19
Last Modified: 12 Aug 2021 10:19
URI: http://eprints.iisc.ac.in/id/eprint/69011

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