The flow equation approach to the pairing instability problem

Details The flow equation approach to the pairing instability problem The flow equation approach to the pairing instability problem

2006-10-17

arxiv.org/abs/cond-mat/0610456v1

Int. Journ. Mod. Phys. E 16, 263 (2007)

Physics

Condensed Matter

Superconductivity

(7 pages, 4 figures) A brief summary of some recent works using the flow equation approach to the pairing instability problem

Scientific paper

10.1142/S0218301307005703

By means of the continuous unitary transformation similar to a general scheme of the Renormalization Group (RG) procedure we study the issue of symmetry breaking and pairing instability in the system of interacting fermions. Constructing a generalized version of the Bogoliubov transformation we show that formation of the fermion pairs and their superconductivity/superfluidity can appear at different temperatures. It is shown that strong quantum fluctuations can destroy the long-range order without breaking the fermion pairs which may still exist as incoherent and/or damped entities. Such unusual phase is characterized by a partial suppression of the density of states near the Fermi energy and by residual collective features like the sound-wave mode in the fermion pair spectrum.

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