Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/147673
Title: Elementary excitations in fractional quantum Hall effect from classical constraints
Authors: Yang, Bo
Balram, Ajit C.
Keywords: Science::Physics
Issue Date: 2021
Source: Yang, B. & Balram, A. C. (2021). Elementary excitations in fractional quantum Hall effect from classical constraints. New Journal of Physics, 23, 013001-. https://dx.doi.org/10.1088/1367-2630/abd49d
Project: NTU Grant for Nanyang Assistant Professorship
Journal: New Journal of Physics 
Abstract: Classical constraints on the reduced density matrix of quantum fluids in a single Landau level termed as local exclusion conditions (LECs) [B. Yang, Phys. Rev. B {\bf 100} 241302 (2019)], have recently been shown to characterize the ground state of many fractional quantum Hall (FQH) phases. In this work, we extend the LEC construction to build the elementary excitations, namely quasiholes and quasielectrons, of these FQH phases. In particular, we elucidate the quasihole counting, categorize various types of quasielectrons, and construct their microscopic wave functions. Our extensive numerical calculations indicate that the undressed quasielectron excitations of the Laughlin state obtained from LECs are topologically equivalent to those obtained from the composite fermion theory. Intriguingly, the LEC construction unveils interesting connections between different FQH phases and offers a novel perspective on exotic states such as the Gaffnian and the Fibonacci state.
URI: https://hdl.handle.net/10356/147673
ISSN: 1367-2630
DOI: 10.1088/1367-2630/abd49d
Rights: © 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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