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Cited by 434

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Bound states, Cooper pairing, and Bose condensation in two dimensions

Randeria, Mohit, Duan, Ji-Min, Shieh, Lih-Yir·1989·Physical Review Letters

Abstract

For a dilute gas of fermions interacting via an arbitrary pair potential in d=2 dimensions, we show that the many-body ground state is unstable to s-wave pairing at T=0 if and only if a two-body bound state exists. We further obtain, within a variational pairing Ansatz, a smooth crossover from a Cooper-paired state (${\ensuremath{\xi}}_{0}$${\mathrm{k}}_{\mathrm{f}}$\ensuremath{\gg}1) to a Bose condensed state of tightly bound pairs (${\ensuremath{\xi}}_{0}$${\mathrm{k}}_{\mathrm{f}}$\ensuremath{\ll}1). We briefly discuss non--s-wave superconductors. Insofar as this model is appli- cable to the high-${\mathrm{T}}_{\mathrm{c}}$ materials, they are in the interesting regime with the coherence length ${\ensuremath{\xi}}_{0}$ comparable to the interparticle spacing ${\mathrm{K}}_{\mathrm{f}}^{\mathrm{\ensuremath{-}}1}$.

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Metadata

Authors
Randeria, M., Duan, J.-M., & Shieh, L.-Y.
Venue
Physical Review Letters
Published
1989-02-27
Volume
62
Issue
9
Pages
981-984
ISSN
0031-9007 (ISSN-L)
OpenAlex
W1978623490
Cited by
434
References
5
FWCI
12.30
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Bound states, Cooper pairing, and Bose condensation in two dimensions. https://app.cochat.ai/papers/10.1103/physrevlett.62.981
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Randeria, M., Duan, J.-M., & Shieh, L.-Y. (1989). Bound states, Cooper pairing, and Bose condensation in two dimensions. Physical Review Letters. https://doi.org/10.1103/physrevlett.62.981

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