Particle-hole symmetry and composite fermions in fractional quantum Hall states
Abstract
We study fractional quantum Hall states at filling fractions in the Jain sequences using the framework of composite Dirac fermions. Synthesizing previous work, we write down an effective field theory consistent with all symmetry requirements, including Galilean invariance and particle-hole symmetry. Employing a Fermi liquid description, we demonstrate the appearance of the Girvin-Macdonlald-Platzman algebra and compute the dispersion relation of neutral excitations and various response functions. Our results satisfy requirements of particle-hole symmetry. We show that while the dispersion relation obtained from the HLR theory is particle-hole symmetric, correlation functions obtained from HLR are not. The results of the Dirac theory are shown to be consistent with the Haldane bound on the projected structure factor, while those of the HLR theory violate it.
- Authors:
-
- Univ. of Chicago, IL (United States)
- New York Univ. (NYU), NY (United States)
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1595680
- Alternate Identifier(s):
- OSTI ID: 1439371
- Grant/Contract Number:
- FG02-13ER41958; SC0009924
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 19; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Nguyen, Dung Xuan, Golkar, Siavash, Roberts, Matthew M., and Son, Dam Thanh. Particle-hole symmetry and composite fermions in fractional quantum Hall states. United States: N. p., 2018.
Web. doi:10.1103/PhysRevB.97.195314.
Nguyen, Dung Xuan, Golkar, Siavash, Roberts, Matthew M., & Son, Dam Thanh. Particle-hole symmetry and composite fermions in fractional quantum Hall states. United States. https://doi.org/10.1103/PhysRevB.97.195314
Nguyen, Dung Xuan, Golkar, Siavash, Roberts, Matthew M., and Son, Dam Thanh. Tue .
"Particle-hole symmetry and composite fermions in fractional quantum Hall states". United States. https://doi.org/10.1103/PhysRevB.97.195314. https://www.osti.gov/servlets/purl/1595680.
@article{osti_1595680,
title = {Particle-hole symmetry and composite fermions in fractional quantum Hall states},
author = {Nguyen, Dung Xuan and Golkar, Siavash and Roberts, Matthew M. and Son, Dam Thanh},
abstractNote = {We study fractional quantum Hall states at filling fractions in the Jain sequences using the framework of composite Dirac fermions. Synthesizing previous work, we write down an effective field theory consistent with all symmetry requirements, including Galilean invariance and particle-hole symmetry. Employing a Fermi liquid description, we demonstrate the appearance of the Girvin-Macdonlald-Platzman algebra and compute the dispersion relation of neutral excitations and various response functions. Our results satisfy requirements of particle-hole symmetry. We show that while the dispersion relation obtained from the HLR theory is particle-hole symmetric, correlation functions obtained from HLR are not. The results of the Dirac theory are shown to be consistent with the Haldane bound on the projected structure factor, while those of the HLR theory violate it.},
doi = {10.1103/PhysRevB.97.195314},
journal = {Physical Review B},
number = 19,
volume = 97,
place = {United States},
year = {Tue May 29 00:00:00 EDT 2018},
month = {Tue May 29 00:00:00 EDT 2018}
}
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