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Pu, S., Balram, A.C., Taylor, J. et al. (2 more authors) (2024) Microscopic Model for Fractional Quantum Hall Nematics. Physical Review Letters, 132 (23). 236503. ISSN 0031-9007
Abstract
Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give rise to a nematic FQH phase, a topological state with a spontaneously broken rotational symmetry. While experiments on FQH states in the second Landau level have reported signatures of putative FQH nematics in anisotropic transport, a realistic model for this state has been lacking. We show that the standard model of particles in the lowest Landau level interacting via the Coulomb potential realizes the FQH nematic transition, which is reached by a progressive reduction of the strength of the shortest-range Haldane pseudopotential. Using exact diagonalization and variational wave functions, we demonstrate that the FQH nematic transition occurs when the system's neutral gap closes in the long-wavelength limit while the charge gap remains open. We confirm the symmetry-breaking nature of the transition by demonstrating the existence of a "circular moat"potential in the manifold of states with broken rotational symmetry, while its geometric character is revealed through the strong fluctuations of the nematic susceptibility and Hall viscosity.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Jul 2024 11:40 |
Last Modified: | 22 Jul 2024 11:58 |
Published Version: | http://dx.doi.org/10.1103/physrevlett.132.236503 |
Status: | Published |
Publisher: | American Physical Society (APS) |
Identification Number: | 10.1103/physrevlett.132.236503 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:215045 |
Available Versions of this Item
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Microscopic Model for Fractional Quantum Hall Nematics. (deposited 22 Jul 2024 11:57)
- Microscopic Model for Fractional Quantum Hall Nematics. (deposited 22 Jul 2024 11:40) [Currently Displayed]