Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/147670
 Title: Microscopic theory for nematic fractional quantum Hall effect Authors: Yang, Bo Keywords: Science::Physics Issue Date: 2020 Source: 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 Project: NRF-NRFF12-2020-0005 Journal: Physical Review Research Abstract: 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. URI: https://hdl.handle.net/10356/147670 ISSN: 2643-1564 DOI: 10.1103/PhysRevResearch.2.033362 Rights: © 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. Fulltext Permission: open Fulltext Availability: With Fulltext Appears in Collections: SPMS Journal Articles

###### Files in This Item:
File Description SizeFormat

#### Page view(s)

119
Updated on May 26, 2022

15
Updated on May 26, 2022

Check