Yang, B, Hu, Z-X, Lee, CH et al. (1 more author) (2017) Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect. Physical Review Letters, 118 (14). 146403. ISSN 1079-7114
Abstract
We generalize the notion of Haldane pseudopotentials to anisotropic fractional quantum Hall (FQH) systems that are physically realized, e.g., in tilted magnetic field experiments or anisotropic band structures. This formalism allows us to expand any translation-invariant interaction over a complete basis, and directly reveals the intrinsic metric of incompressible FQH fluids. We show that purely anisotropic pseudopotentials give rise to new types of bound states for small particle clusters in the infinite plane, and can be used as a diagnostic of FQH nematic order. We also demonstrate that generalized pseudopotentials quantify the anisotropic contribution to the effective interaction potential, which can be particularly large in models of fractional Chern insulators.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | cond-mat.str-el; cond-mat.str-el; cond-mat.mes-hall |
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: | 06 Apr 2017 11:01 |
Last Modified: | 23 Jun 2023 22:26 |
Published Version: | https://doi.org/10.1103/PhysRevLett.118.146403 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevLett.118.146403 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:114650 |
Commentary/Response Threads
- Yang, B, Hu, Z-X, Lee, CH and Papic, Z Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect. (deposited 06 Apr 2017 11:01) [Currently Displayed]