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.
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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. | ||||
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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) | ||||
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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: | https://doi.org/10.1103/PhysRevLett.118.267002 |