Physics – Mathematical Physics
Scientific paper
2011-07-02
Physics
Mathematical Physics
23 pages, 1 figure
Scientific paper
We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For $\cosh(\delta_\mu/T) \leq 2$, with $T$ the temperature and $\delta_\mu$ the chemical potential difference, the question of existence of non-trivial solutions can be reduced to spectral properties of a linear operator, similar to the unpolarized case studied previously in \cite{FHNS,HHSS,HS}. For $\cosh(\delta_\mu/T) > 2$ the phase diagram is more complicated, however. We derive upper and lower bounds for the critical temperature, and study their behavior in the small coupling limit.
Freiji Abraham
Hainzl Christian
Seiringer Robert
No associations
LandOfFree
The BCS gap equation for spin-polarized fermions 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 The BCS gap equation for spin-polarized fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The BCS gap equation for spin-polarized fermions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-175465