Exotic pairing via a central attraction: from the BCS to the Bose limits

Details Exotic pairing via a central attraction: from the BCS to the Bose limits Exotic pairing via a central attraction: from the BCS to the Bose limits

2001-06-13

arxiv.org/abs/cond-mat/0106250v2

Phys. Rev. B 66, 214526 (2002)

Physics

Condensed Matter

Superconductivity

REVTeX4, 12 Pages including 14 figures; this manuscript has been completely re-written to shorten it and emphasize the main th

Scientific paper

10.1103/PhysRevB.66.214526

In the context of a simple model featuring an explicit, central interaction potential, and using a standard functional-integral technique, we study superconductivity with angular momentum quantum number l=2 as an emergent property of the many-body system. Our interaction potential is attractive at a finite distance r_0, and the breaking of the rotational symmetry is the result of an interplay between r_0 and the inter-particle distance r_s which we deem generic to interactions of this type. However such interplay, responsible for the preference of a d-wave state for a range of intermediate densities, takes place only in the BCS limit. In contrast, as the Bose-Einstein (BE) limit is approached the internal energy of the "preformed pairs" becomes the dominant contribution and there is a quantum phase transition in which the s-wave symmetry is restored. We also find that the limiting value of the critical temperature is k_B T_c --> 3.315(\hbar^2/2m*)[n/2(2l+1)]^{2/3}, which coincides with the usual result only for l=0; for l>0, it differs in the degeneracy factor 1/(2l+1), which lowers T_c. Our results thus place constraints on exotic pairing in the BE limit, while at the same time indicating a particularly interesting route to pairing with l>0 in a BCS superconductor.

Affiliated with

Also associated with

No associations

Rating

Exotic pairing via a central attraction: from the BCS to the Bose limits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exotic pairing via a central attraction: from the BCS to the Bose limits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exotic pairing via a central attraction: from the BCS to the Bose limits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507165