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Pu, S, Balram, AC and Papić, Z (2022) Local density of states and particle entanglement in topological quantum fluids. Physical Review B, 106 (4). 045140. ISSN 2469-9950
Abstract
The understanding of particle entanglement is an important goal in the studies of correlated quantum matter. The widely used method of scanning tunneling spectroscopy—which measures the local density of states (LDOS) of a many-body system by injecting or removing an electron from it—is expected to be sensitive to particle entanglement. In this paper, we systematically investigate the relation between the particle entanglement spectrum (PES) and the LDOS of fractional quantum Hall (FQH) states, the paradigmatic strongly correlated phases of electrons with topological order. Using exact diagonalization, we show that the counting of levels in both the LDOS and PES in the Jain sequence of FQH states can be predicted from the composite fermion theory. We point out the differences between LDOS and PES characterization of the bulk quasihole excitations, and we discuss the conditions under which the LDOS counting can be mapped to that of PES. Our results affirm that tunneling spectroscopy is a sensitive tool for identifying the nature of FQH states.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 American Physical Society. This is an author produced version of an article published in Physical Review B. Uploaded in accordance with the publisher's self-archiving policy. |
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) |
Funding Information: | Funder Grant number Leverhulme Trust RL-2019-015 Royal Society IES\R2\202052 EPSRC (Engineering and Physical Sciences Research Council) EP/R020612/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Aug 2022 10:40 |
Last Modified: | 04 Nov 2023 17:15 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/physrevb.106.045140 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:189979 |
Available Versions of this Item
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Local density of states and particle entanglement in topological quantum fluids. (deposited 03 Nov 2023 14:29)
- Local density of states and particle entanglement in topological quantum fluids. (deposited 16 Aug 2022 10:40) [Currently Displayed]