Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems

Details Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems

2008-08-13

arxiv.org/abs/0808.1874v2

Phys. Rev. A 79, 043602 (2009)

Physics

Condensed Matter

Superconductivity

11 RevTeX pages, 4 figures, submitted to Physical Review A, extended version

Scientific paper

10.1103/PhysRevA.79.043602

Condensed Fermi systems with an odd number of particles can be described by means of polarizing external fields having a time-odd character. We illustrate how this works for Fermi gases and atomic nuclei treated by density functional theory or Hartree-Fock-Bogoliubov (HFB) theory. We discuss the method based on introducing two chemical potentials for different superfluid components, whereby one may change the particle-number parity of the underlying quasiparticle vacuum. Formally, this method is a variant of non-collective cranking, and the procedure is equivalent to the so-called blocking. We present and exemplify relations between the two-chemical-potential method and the cranking approximation for Fermi gases and nuclei.

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