Flow equation approach to the pairing problems

Details Flow equation approach to the pairing problems Flow equation approach to the pairing problems

2006-02-09

arxiv.org/abs/cond-mat/0602236v1

Cond. Mat. Phys. 11, 195 (2008).

Physics

Condensed Matter

Superconductivity

Scientific paper

We apply the flow equation method for studying the fermion systems where pairing interactions can either trigger the BCS instability with the symmetry breaking manifested by the off-diagonal order parameter or lead to the gaped single particle spectrum without any symmetry breaking. We construct the continuous Bogoliubov transformation in a scheme resembling the renormalization group procedure. We further extend this continuous transformation to a case where fermion pairs interact with the boson field. Due to temporal quantum fluctuations the single particle excitation spectrum develops a gap which is centered around the renormalized boson energy. When bosons undergo the Bose Einstein condensation this structure evolves into the BCS spectrum.

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