Functional renormalization group approach to conventional theory of superfluidity and beyond

17th International Conference on Recent Progress in Many-Body Theories

Tanizaki, Y.^1,2 ; Fejös, G.^2 ; Hatsuda, T.^2,3

Department of Physics, University of Tokyo, Tokyo 113-0033, Japan^1

Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan^2

Kavli IPMU (WPI), University of Tokyo, Chiba 277-8583, Japan^3

关键词: Bardeen-Cooper-Schrieffer theory;    Contact interaction;    Conventional theory;    Fermionic systems;    Functional renormalization group;    Negative scattering length;    Superfluid phase;    Superfluid transition temperature;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/529/1/012027/pdf
DOI  :  10.1088/1742-6596/529/1/012027

来源: IOP

【 摘 要 】

Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the Bardeen-Cooper- Schrieffer (BCS) theory with its Gorkov and Melik-Barkhudarov (GMB) correction is made clear, and the FRG flow of the fermion self-energy is also studied to go beyond the BCS+GMB theory. The superfluid transition temperature and the associated chemical potential are calculated in the region of the negative scattering length using fermionic FRG.