Although BCS pairs of fermions are known not to obey Bose-Einstein (BE) commutation relations nor BE statistics, we show how Cooper pairs (CPs), whether the simple original ones or the CPs recently generalized in a many-body Bethe-Salpeter approach, being clearly distinct from BCS pairs at least obey BE statistics. Hence, contrary to widespread popular belief, CPs can undergo BE condensation to account for superconductivity if charged, as well as for neutral-atom fermion superfluidity where CPs, but uncharged, are also expected to form. Keywords: Cooper pairs; Bose-Einstein condensation; superconductors; superfluids 1Although BCS pairs of fermions are known not to obey Bose-Einstein (BE) commutation relations nor BE statistics, we show how Cooper pairs (CPs), whether the simple original ones or the CPs recently generalized in a many-body Bethe-Salpeter approach, being clearly distinct from BCS pairs at least obey BE statistics. Hence, contrary to widespread popular belief, CPs can undergo BE condensation to account for superconductivity if charged, as well as for neutral-atom fermion superfluidity where CPs, but uncharged, are also expected to form. Keywords: Cooper pairs; Bose-Einstein condensation; superconductors; superfluids 1

Jan 1, 200813 citations

Pairing in Fermion Systems

S. Mazumdar

Physical Review LettersNov 30, 19872 citations

Pairing of Fermions with Arbitrary Spin

Tin-Lun Ho, Sungkit Yip

Motivated by the recent success of optical trapping of alkali Bose condensate, we have studied the superfluid state of optically trapped alkali fermions, which can have Cooper pairs with total spin $J\ensuremath{\ge}2$. In this paper, we shall discuss the general structure of these large spin Cooper pairs and their close relation with singlet Cooper pairs with nonzero orbital angular momentum. We also present the exact solution for the $J\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2$ pairing which shows a surprising change of ground state as the spin $f$ of the constituent fermion increases.Motivated by the recent success of optical trapping of alkali Bose condensate, we have studied the superfluid state of optically trapped alkali fermions, which can have Cooper pairs with total spin $J\ensuremath{\ge}2$. In this paper, we shall discuss the general structure of these large spin Cooper pairs and their close relation with singlet Cooper pairs with nonzero orbital angular momentum. We also present the exact solution for the $J\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2$ pairing which shows a surprising change of ground state as the spin $f$ of the constituent fermion increases.

arXiv:cond-mat/9808246Physical Review LettersJan 11, 199994 citations

Fermion-like treatments of fermion pairs

Jun'ichi Osada

Il Nuovo CimentoApr 1, 19622 citations

Fermionic Superfluidity: Cooper Pairing

Andreas Schmitt

Lecture notes in physicsJun 13, 20140 citations

COOPER PAIRS AS BOSONS

M. de LLANO, F. J. SEVILLA, S. TAPIA

Although BCS pairs of fermions are known to obey neither Bose–Einstein (BE) commutation relations nor BE statistics, we show how Cooper pairs (CPs), whether the simple original ones or the CPs recently generalized in a many-body Bethe–Salpeter approach, being clearly distinct from BCS pairs at least obey BE statistics. Hence, contrary to widespread popular belief, CPs can undergo BE condensation to account for superconductivity if charged, as well as for neutral-atom fermion superfluidity where CPs, but uncharged, are also expected to form.Although BCS pairs of fermions are known to obey neither Bose–Einstein (BE) commutation relations nor BE statistics, we show how Cooper pairs (CPs), whether the simple original ones or the CPs recently generalized in a many-body Bethe–Salpeter approach, being clearly distinct from BCS pairs at least obey BE statistics. Hence, contrary to widespread popular belief, CPs can undergo BE condensation to account for superconductivity if charged, as well as for neutral-atom fermion superfluidity where CPs, but uncharged, are also expected to form.

arXiv:cond-mat/0307258International Journal of Modern Physics BAug 10, 200617 citations

J\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2

pairing which shows a surprising change of ground state as the spin

f

of the constituent fermion increases.