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Andreev scattering in the asymmetric ladder with preformed bosonic pairs

Karyn Le Hur

DOI 10.1103/PhysRevB.64.060502 · Physical Review B

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Abstract

We discuss the phase coherence that emanates from the ladderlike proximity effect between a “weak superconductor” with preformed bosonic pairs (here, a single-chain Luther-Emery liquid with superconducting correlations that decay approximately as x−1) and a Fermi gas with unpaired fermions. Carefully studying tunneling mechanism(s), we show that the boson-mediated Cooper pairing between remaining unpaired electrons results in a quasi-long-range superconductivity: Superconducting correlations decay very slowly as x−η with η≈1/2. This process is reminiscent of the coupling of fermions to preformed bosonic pairs introduced in the context of high-Tc cuprates.

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