Pairing Fluctuations in The Attractive Hubbard Model in the Atomic Limit

Details Pairing Fluctuations in The Attractive Hubbard Model in the Atomic Limit Pairing Fluctuations in The Attractive Hubbard Model in the Atomic Limit

2004-08-03

arxiv.org/abs/cond-mat/0408074v1

Phys. Rev. B 71, 155111 (2005)

Physics

Condensed Matter

Superconductivity

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.71.155111

BCS theory accounts for the pairing instability in the weak coupling limit, but fails to describe pairing fluctuations above $T_c$. One possibility for describing these fluctuations in the dilute limit is the T-matrix approximation. We critically examine various degrees of self-consistency in the T-matrix formalism, along with a non-diagrammatic two-particle self-consistent (TPSC) formulation, in the strong coupling regime, where an exact solution is readily available. We find that one particular degree of self-consistency is quite accurate, particularly at low temperature as evidenced by examining both static and dynamic properties.

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