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Geometric stability of topological lattice phases

Jackson, Thomas S, Möller, Gunnar, Roy, Rahul (2015) Geometric stability of topological lattice phases. Nature Communications, 6 . Article Number 8629. ISSN 2041-1723. (doi:10.1038/ncomms9629) (KAR id:55588)

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The fractional quantum Hall (FQH) effect illustrates the range of novel phenomena which can arise in a topologically ordered state in the presence of strong interactions. The possibility of realizing FQH-like phases in models with strong lattice effects has attracted intense interest as a more experimentally accessible venue for FQH phenomena which calls for more theoretical attention. Here we investigate the physical relevance of previously derived geometric conditions which quantify deviations from the Landau level physics of the FQHE. We conduct extensive numerical many-body simulations on several lattice models, obtaining new theoretical results in the process, and find remarkable correlation between these conditions and the many-body gap. These results indicate which physical factors are most relevant for the stability of FQH-like phases, a paradigm we refer to as the geometric stability hypothesis, and provide easily implementable guidelines for obtaining robust FQH-like phases in numerical or real-world experiments.

Item Type: Article
DOI/Identification number: 10.1038/ncomms9629
Uncontrolled keywords: Physics of Quantum Materials, fractional Chern insulators, Chern number, quantum Hall physics, band geometry, topological index, emergence, many-body physics, Physics of Quantum Materials, Functional Materials Group
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Funders: [UNSPECIFIED] The Royal Society
Depositing User: Gunnar Moeller
Date Deposited: 18 Aug 2016 21:00 UTC
Last Modified: 20 May 2021 11:10 UTC
Resource URI: (The current URI for this page, for reference purposes)
Möller, Gunnar:
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