Microscopic theory for nematic fractional quantum Hall effect

We analyse various microscopic properties of the nematic fractional quantum Hall effect (FQHN) in the thermodynamic limit, and present necessary conditions required of the microscopic Hamiltonians for the nematic FQHE to be robust. Analytical expressions for the degenerate ground state manifold, gro...

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Main Author: Yang, Bo
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
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Online Access:https://hdl.handle.net/10356/147670
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1476702023-02-28T19:58:22Z Microscopic theory for nematic fractional quantum Hall effect Yang, Bo School of Physical and Mathematical Sciences Physics and Applied Physics Science::Physics Fractional Quantum Hall Effect Topological Materials We analyse various microscopic properties of the nematic fractional quantum Hall effect (FQHN) in the thermodynamic limit, and present necessary conditions required of the microscopic Hamiltonians for the nematic FQHE to be robust. Analytical expressions for the degenerate ground state manifold, ground state energies, and gapless nematic modes are given in compact forms with the input interaction and the corresponding ground state structure factors. We relate the long wavelength limit of the neutral excitations to the guiding center metric deformation, and show explicitly the family of trial wavefunctions for the nematic modes with spatially varying nematic order near the quantum critical point. For short range interactions, the dynamics of the FQHN is completely determined by the long wavelength part of the ground state structure factor. The special case of the FQHN at $\nu=1/3$ is discussed with new theoretical insights from the Haffnian parent Hamiltonian, leading to a number of rigorous statements and experimental implications. National Research Foundation (NRF) Published version This work is supported by the Singapore National Research Foundation (NRF) under NRF fellowship award NRF-NRFF12-2020-0005. 2021-04-19T07:17:46Z 2021-04-19T07:17:46Z 2020 Journal Article Yang, B. (2020). Microscopic theory for nematic fractional quantum Hall effect. Physical Review Research, 2, 033362-1-033362-11. https://dx.doi.org/10.1103/PhysRevResearch.2.033362 2643-1564 https://hdl.handle.net/10356/147670 10.1103/PhysRevResearch.2.033362 2 033362-1 033362-11 en NRF-NRFF12-2020-0005 Physical Review Research © 2020 The Author(s) (American Physical Society). 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. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Fractional Quantum Hall Effect
Topological Materials
spellingShingle Science::Physics
Fractional Quantum Hall Effect
Topological Materials
Yang, Bo
Microscopic theory for nematic fractional quantum Hall effect
description We analyse various microscopic properties of the nematic fractional quantum Hall effect (FQHN) in the thermodynamic limit, and present necessary conditions required of the microscopic Hamiltonians for the nematic FQHE to be robust. Analytical expressions for the degenerate ground state manifold, ground state energies, and gapless nematic modes are given in compact forms with the input interaction and the corresponding ground state structure factors. We relate the long wavelength limit of the neutral excitations to the guiding center metric deformation, and show explicitly the family of trial wavefunctions for the nematic modes with spatially varying nematic order near the quantum critical point. For short range interactions, the dynamics of the FQHN is completely determined by the long wavelength part of the ground state structure factor. The special case of the FQHN at $\nu=1/3$ is discussed with new theoretical insights from the Haffnian parent Hamiltonian, leading to a number of rigorous statements and experimental implications.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Yang, Bo
format Article
author Yang, Bo
author_sort Yang, Bo
title Microscopic theory for nematic fractional quantum Hall effect
title_short Microscopic theory for nematic fractional quantum Hall effect
title_full Microscopic theory for nematic fractional quantum Hall effect
title_fullStr Microscopic theory for nematic fractional quantum Hall effect
title_full_unstemmed Microscopic theory for nematic fractional quantum Hall effect
title_sort microscopic theory for nematic fractional quantum hall effect
publishDate 2021
url https://hdl.handle.net/10356/147670
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