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Algebraic approach to fractional quantum Hall effect

Abstract:

We construct an algebraic description for the ground state and for the static response of the quantum Hall plateaus with a filling factor ν = N / ( 2 N + 1 ) in the large N limit. By analyzing the algebra of the fluctuations of the shape of the Fermi surface of the composite fermions, we find the explicit form of the projected static structure (SSF) factor at large N and fixed z = ( 2 N + 1 ) q ℓ B ∼ 1 , where q is the wave number at which the system is probed, and ℓ B is the magne...

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

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Publisher copy:
10.1103/PhysRevB.98.241110

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics
Subgroup:
Theoretical Physics
ORCID:
0000-0002-8595-0528
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Volume:
98
Issue:
24
Pages:
Article: 241110(R)
Publication date:
2018-12-20
Acceptance date:
2018-12-10
DOI:
EISSN:
2469-9969
ISSN:
1098-0121
Pubs id:
pubs:953553
URN:
uri:66e3b959-5377-49a3-a517-155467189b69
UUID:
uuid:66e3b959-5377-49a3-a517-155467189b69
Local pid:
pubs:953553

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