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Title: Fractional quantum Hall effect from frustration-free Hamiltonians
Authors: Yang, Bo 
Keywords: Science::Physics
Issue Date: 2020
Source: Yang, B. (2020). Fractional quantum Hall effect from frustration-free Hamiltonians. Physical Review Letters, 125(17), 176402-. doi:10.1103/PhysRevLett.125.176402
Project: NRF-NRFF12-2020-005
Journal: Physical Review Letters
Abstract: We show that there is an emergent lattice description for the continuous fractional quantum Hall (FQH) systems, with a generalized set of few-body coherent states. In particular, model Hamiltonians of the FQH effect (FQHE) are equivalent to the real-space von Neumann lattice of local projection operators imposed on a continuous system in the thermodynamic limit. It can be analytically derived that tuning local one-body potentials in such lattices amounts to the tuning of individual two- or few-body pseudopotentials. For some cases, we can realize pure few-body pseudopotentials important for stabilizing exotic non-Abelian topological phases. Thus, this new approach can potentially lead to the experimental realization of coveted non-Abelian quantum fluids including the Moore-Read state and the Fibonacci state. The reformulation of the FQHE as a sum of local projections opens up new paths for rigorously proving the incompressibility of microscopic Hamiltonians in the thermodynamic limit.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.125.176402
Schools: School of Physical and Mathematical Sciences 
Organisations: Institute of High Performance Computing, A*STAR
Rights: © 2020 American Physical Society. All rights reserved. This paper was published in Physical Review Letters and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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