Particle-hole symmetry and composite fermions in fractional quantum Hall states

Nguyen, Dung Xuan; Golkar, Siavash; Roberts, Matthew M.; Son, Dam Thanh

doi:10.1103/PhysRevB.97.195314

Particle-hole symmetry and composite fermions in fractional quantum Hall states

Journal Article · Tue May 29 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.97.195314· OSTI ID:1595680

Nguyen, Dung Xuan ^[1]; Golkar, Siavash ^[2]; Roberts, Matthew M. ^[3]; Son, Dam Thanh ^[3]

Univ. of Chicago, IL (United States); University of Chicago
New York Univ. (NYU), NY (United States)
Univ. of Chicago, IL (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0009924

OSTI ID:: 1595680

Alternate ID(s):: OSTI ID: 1439371

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 19 Vol. 97; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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