Energy of N Cooper pair by analytically solving Richardson-Gaudin equations

Details Energy of N Cooper pair by analytically solving Richardson-Gaudin equations Energy of N Cooper pair by analytically solving Richardson-Gaudin equations

2011-11-24

arxiv.org/abs/1111.5801v1

Physics

Condensed Matter

Superconductivity

Scientific paper

This Letter provides the solution to a yet unsolved basic problem of Solid State Physics: the ground state energy of an arbitrary number of Cooper pairs interacting via the Bardeen-Cooper-Schrieffer potential. We here break a 50 year old math problem by analytically solving Richardson-Gaudin equations which give the exact energy of these $N$ pairs via $N$ parameters coupled through $N$ non-linear equations. Our result fully supports the standard BCS result obtained for a pair number equal to half the number of states feeling the potential. More importantly, it shows that the interaction part of the $N$-pair energy depends on $N$ as $N(N-1)$ only from N=1 to the dense regime, a result which evidences that Cooper pairs interact via Pauli blocking only.

Affiliated with

Also associated with

No associations

Rating

Energy of N Cooper pair by analytically solving Richardson-Gaudin equations 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 Energy of N Cooper pair by analytically solving Richardson-Gaudin equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy of N Cooper pair by analytically solving Richardson-Gaudin equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-157585