Self-energy and critical temperature of weakly interacting bosons

Details Self-energy and critical temperature of weakly interacting bosons Self-energy and critical temperature of weakly interacting bosons

2003-11-03

arxiv.org/abs/cond-mat/0311043v1

Phys. Rev. A 69, 061601(R) (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages,1 figure

Scientific paper

10.1103/PhysRevA.69.061601

Using the exact renormalization group we calculate the momentum-dependent self-energy Sigma (k) at zero frequency of weakly interacting bosons at the critical temperature T_c of Bose-Einstein condensation in dimensions 3 <= D < 4. We obtain the complete crossover function interpolating between the critical regime k << k_c, where Sigma (k) propto k^{2 - eta}, and the short-wavelength regime k >> k_c, where Sigma (k) propto k^{2 (D-3)} in D> 3 and Sigma (k) \propto ln (k/k_c) in D=3. Our approach yields the crossover scale k_c on the same footing with a reasonable estimate for the critical exponent eta in D=3. From our Sigma (k) we find for the interaction-induced shift of T_c in three dimensions Delta T_c / T_c approx 1.23 a n^{1/3}, where a is the s-wave scattering length and n is the density.

Affiliated with

Also associated with

No associations

Rating

Self-energy and critical temperature of weakly interacting bosons 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 Self-energy and critical temperature of weakly interacting bosons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-energy and critical temperature of weakly interacting bosons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-232163