Elementary excitations in fractional quantum Hall effect from classical constraints
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...
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sg-ntu-dr.10356-1476732023-02-28T19:58:01Z Elementary excitations in fractional quantum Hall effect from classical constraints Yang, Bo Balram, Ajit C. School of Physical and Mathematical Sciences Physics and Applied Physics Science::Physics Fractional Quantum Hall Effect Topological Materials 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. National Research Foundation (NRF) Published version This work is supported by the NTU grant for Nanyang Assistant Professorship. The Center for Quantum Devices is funded by the Danish National Research Foundation. This work was supported by the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme, Grant Agreement No. 678862 and the Villum Foundation. Some of the numerical calculations reported in this work were carried out on the Nandadevi supercomputer, which is maintained and supported by the Institute of Mathematical Science’s High Performance Computing center. 2021-04-19T04:45:24Z 2021-04-19T04:45:24Z 2021 Journal Article 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 1367-2630 https://hdl.handle.net/10356/147673 10.1088/1367-2630/abd49d 23 013001 en NTU Grant for Nanyang Assistant Professorship New Journal of Physics © 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. application/pdf |
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Science::Physics Fractional Quantum Hall Effect Topological Materials Yang, Bo Balram, Ajit C. Elementary excitations in fractional quantum Hall effect from classical constraints |
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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. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Yang, Bo Balram, Ajit C. |
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Article |
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Yang, Bo Balram, Ajit C. |
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Yang, Bo |
title |
Elementary excitations in fractional quantum Hall effect from classical constraints |
title_short |
Elementary excitations in fractional quantum Hall effect from classical constraints |
title_full |
Elementary excitations in fractional quantum Hall effect from classical constraints |
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Elementary excitations in fractional quantum Hall effect from classical constraints |
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Elementary excitations in fractional quantum Hall effect from classical constraints |
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elementary excitations in fractional quantum hall effect from classical constraints |
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2021 |
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https://hdl.handle.net/10356/147673 |
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