Functionals for studies of BCS and unitary regimes
W-SLDA allows investigating properties of fermionic in the whole spectrum of interaction strengths:
- Weakly interacting regime (BCS regime) by means of Bogoliubov-de Gennes equations (BdG).
- The strongly interacting regime, (UFG limit), by means of Superfluid Local Density Approximation (SLDA).
- An arbitrary value of askF from BCS to UFG, by means of Extended Superfluid Local Density Approximation (SLDAE)
To learn more about the methods that apply to various interaction regimes see:
BdG
Stefano Giorgini, Lev P. Pitaevskii, and Sandro Stringari,
Theory of ultracold atomic Fermi gases,
Rev. Mod. Phys. 80, 1215 (2008)
Online access: arXiv:0706.3360
SLDA
Aurel Bulgac, Michael McNeil Forbes, and Piotr Magierski,
The Unitary Fermi Gas: From Monte Carlo to Density Functionals, in The BCS-BEC Crossover and the Unitary Fermi Gas,
Lecture Notes in Physics, edited by Wilhelm Zwerger (Springer, Berlin, Heidelberg, 2012) pp. 305–373.
Online access: arXiv:1008.3933
SLDAE
Antoine Boulet, Gabriel Wlazłowski, and Piotr Magierski,
Local energy density functional for superfluid Fermi gases from effective field theory
Phys. Rev. A 106, 013306 (2022)
Online access: arXiv:2201.07626