Geometric stability of topological lattice phases
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Jackson, T., Möller, G., & Roy, R. (2015). Geometric stability of topological lattice phases. Nature Communications, 6 (8629)https://doi.org/10.1038/ncomms9629
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.
R. R. acknowledges support from the Sloan Foundation. G. M. acknowledges support from the Leverhulme Trust under grant no. ECF-2011-565, from the Newton Trust of the University of Cambridge, and from the Royal Society under grant UF120157. This work used computational and storage services associated with the Hoffman2 Shared Cluster provided by UCLA Institute for Digital Research and Education’s Research Technology Group. Part of our numerical work was performed using the Darwin Supercomputer of the University of Cambridge High Performance Computing Service funded by Strategic Research Infrastructure Funding from the Higher Education Funding Council for England and funding from the Science and Technology Facilities Council.
Royal Society (uf120157)
Leverhulme Trust (ECF-2011-565)
External DOI: https://doi.org/10.1038/ncomms9629
This record's URL: https://www.repository.cam.ac.uk/handle/1810/252380
Creative Commons Attribution 4.0
Licence URL: http://creativecommons.org/licenses/by/4.0/