Patrick, K, Neupert, T and Pachos, JK orcid.org/0000-0002-9775-4436 (2017) Topological Quantum Liquids with Long-Range Couplings. Physical Review Letters, 118 (26). 267002. ISSN 0031-9007
Abstract
Very few topological systems with long-range couplings have been considered so far due to our lack of analytic approaches. Here we extend the Kitaev chain, a 1D quantum liquid, to infinite-range couplings and study its topological properties. We demonstrate that, even though topological phases are intimately linked to the notion of locality, the infinite-range couplings give rise to topological zero and nonzero energy Majorana end modes depending on the boundary conditions of the system. We show that the analytically derived properties are to a large degree stable against modifications to decaying long-range couplings. Our work opens new frontiers for topological states of matter that are relevant to current experiments, where systems with interactions of variable range can be designed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license [https://creativecommons.org/licenses/by/4.0/]. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/I038683/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Jun 2017 08:54 |
Last Modified: | 04 Nov 2017 08:13 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevLett.118.267002 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:117294 |