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Title: Pairing in half-filled Landau level

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. We construct 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.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [1]
  1. Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, CA 90095-1547 (United States)
  2. Perimeter Institute for Theoretical Physics, 31 Caroline St N, Waterloo, ON N2L 2Y5 (Canada)
  3. Center for Correlated Electron Systems, Institute for Basic Science (IBS), Seoul National University, Seoul 151-747 (Korea, Republic of)
  4. (Korea, Republic of)
Publication Date:
OSTI Identifier:
22403495
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 351; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; CHIRALITY; COOPER PAIRS; CURRENTS; FERMIONS; FREQUENCY DEPENDENCE; FREQUENCY RANGE; HALL EFFECT; PHASE DIAGRAMS; SUPERCONDUCTIVITY