Exactly Solvable Model for Strongly Interacting Electrons in a Magnetic Field

States of strongly interacting particles are of fundamental interest in physics and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the standard practice of restricting to the lowest LL, introduce a...

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Bibliographic Details
Published in:Physical review letters 2021-04, Vol.126 (13), p.136601-136601, Article 136601
Main Authors: Anand, Abhishek, Jain, J K, Sreejith, G J
Format: Article
Language:English
Subjects:
composite fermion
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Cyclotrons
Electrons
Exact solutions
exactly solvable models
fractional quantum Hall effect
Magnetic fields
Quantum Hall effect
Topology
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Summary:States of strongly interacting particles are of fundamental interest in physics and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the standard practice of restricting to the lowest LL, introduce a model short-range interaction that is infinitely strong compared to the cyclotron energy. We demonstrate that this model lends itself to an exact solution for the ground as well as excited states at arbitrary filling factors ν
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.126.136601