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Cooper pairing with finite angular momentum: BCS versus Bose limits

Quintanilla, Jorge, Gyorffy, Balazs L. (2003) Cooper pairing with finite angular momentum: BCS versus Bose limits. Journal of Physics A: Mathematical and General, 36 (35). pp. 9379-9390. ISSN 0305-4470. (doi:10.1088/0305-4470/36/35/322) (KAR id:25615)

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Official URL:
https://doi.org/10.1088/0305-4470/36/35/322

Abstract

We revisit the old problem of exotic superconductivity as Cooper pairing with finite angular momentum emerging from a central potential.

Based on some general considerations, we suggest that the phenomenon

is associated with interactions that keep electrons at some particular,

finite distance r(0), and occurs at a range of intermediate densities

n similar to 1/r(0)(3). We discuss the ground state and the critical

temperature in the framework of a standard functional-integral theory

of the BCS to Bose crossover. We find that, due to the lower energy

of two-body bound states with l = 0, the rotational symmetry of the

ground state is always restored on approaching the Bose limit. Moreover

in that limit the critical temperature is always higher for pairs

with l = 0. The breaking of the rotational symmetry of the continuum

by the superfluid state thus seems to be a property of weakly-attractive,

non-monotonic interaction potentials, at intermediate densities.

Item Type: Article
DOI/Identification number: 10.1088/0305-4470/36/35/322
Additional information: International Workshop on Strongly Correlated Electrons in New Materials, LOUGHBOROUGH, ENGLAND, DEC 14-17, 2002
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Jorge Quintanilla Tizon
Date Deposited: 14 Oct 2010 14:40 UTC
Last Modified: 09 Mar 2023 11:32 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/25615 (The current URI for this page, for reference purposes)
Quintanilla, Jorge: https://orcid.org/0000-0002-8572-730X
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