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Open AccessArticle

Homotopy Phases of FQHE with Long-Range Quantum Entanglement in Monolayer and Bilayer Hall Systems

Department of Quantum Technologies, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland
Nanomaterials 2020, 10(7), 1286; https://doi.org/10.3390/nano10071286 (registering DOI)
Received: 9 May 2020 / Revised: 8 June 2020 / Accepted: 19 June 2020 / Published: 30 June 2020
(This article belongs to the Section Nanocomposite Materials)
Correlated phases in Hall systems have topological character. Multilayer configurations of planar electron systems create the opportunity to change topological phases on demand using macroscopic factors, such as vertical voltage. We present an analysis of such phenomena in close relation to recent experiments with multilayer Hall setups including GaAs and graphene multi-layers. The consequences of the blocking or not of the inter-layer electron tunneling in stacked Hall configurations are analyzed and presented in detail. Multilayer Hall systems are thus tunable topological composite nanomaterials, in the case of graphene-stacked systems by both intra- and inter-layer voltage. View Full-Text
Keywords: correlated Hall homotopy phases; long-range quantum entanglement; bilayer Hall systems; indirect excitons; superfluidity of excitons; reentrant IQHE; FQHE hierarchy in Hall systems; control over homotopy phases correlated Hall homotopy phases; long-range quantum entanglement; bilayer Hall systems; indirect excitons; superfluidity of excitons; reentrant IQHE; FQHE hierarchy in Hall systems; control over homotopy phases
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Jacak, J.E. Homotopy Phases of FQHE with Long-Range Quantum Entanglement in Monolayer and Bilayer Hall Systems. Nanomaterials 2020, 10, 1286.

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