Pairing in half-filled Landau level

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Title
Pairing in half-filled Landau level
Author(s)
Zhiqiang Wang; Mandal I.; Suk Bum Chung; Sudip Chakravarty
Publication Date
2014-12
Journal
ANNALS OF PHYSICS, v.351, no., pp.727 - 738
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Abstract
Pairing of composite fermions in half-filled Landau level state is reexamined by solving the BCS gap equation with full frequency dependent current–current interactions. Our results show that there can be a continuous transition from the Halperin–Lee–Read state to a chiral odd angular momentum Cooper pair state for short-range contact interaction. This is at odds with the previously established conclusion of first order pairing transition, in which the low frequency effective interaction was assumed for the entire frequency range. We find that even if the low frequency effective interaction is repulsive, it is compensated by the high frequency regime, which is attractive.Weconstruct the phase diagrams and show that ℓ = 1 angular momentum channel is quite different from higher angular momenta ℓ ≥ 3. Remarkably, the full frequency dependent analysis applied to the bilayer Hall system with a total filling fraction ν = 1 2 + 1 2 is quantitatively changed from the previously established results but not qualitatively.
URI
https://pr.ibs.re.kr/handle/8788114/833
ISSN
0003-4916
Appears in Collections:
Center for Correlated Electron Systems(강상관계 물질 연구단) > Journal Papers (저널논문)
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