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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 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-Macdonald-Platzman algebra and compute the dispersion relation of neutral excitations and various response functions. O...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1103/PhysRevB.97.195314

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Roberts, M More by this author
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Grant:
Simons Investigator grant
UChicago MRSEC More from this funder
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Volume:
97
Issue:
19
Pages:
Article: 195314
Publication date:
2018-05-29
Acceptance date:
2018-04-27
DOI:
EISSN:
2469-9969
ISSN:
2469-9950
Pubs id:
pubs:854166
URN:
uri:99207a78-12c6-444d-9bc6-0ee0fc5926e1
UUID:
uuid:99207a78-12c6-444d-9bc6-0ee0fc5926e1
Local pid:
pubs:854166

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