Nonperturbative approach to the attractive Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 7, 2001, Pages

  Allen, S ^a   Tremblay, A M S ^b  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b Institut Canadien de Recherches Avancé   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELEMENTARY PARTICLE; ENERGY; MATHEMATICAL MODEL; QUANTUM MECHANICS; SYSTEM ANALYSIS; THEORY;

EID: 4243522352     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.075115     Document Type: Article

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30. As usual (Ref. 3), we assume that the only dependence of (formula presented) on (formula presented) is through its functional dependence on the Green function (formula presented) Eq. (11). That (formula presented) may be expressed as a function of (formula presented) only requires the same assumptions as those underlying the existence of a Luttinger–Ward functional (Ref. 19). Note also that out of the four functions entering the matrix (formula presented), only two in principle suffice to express the dependence on (formula presented), since the latter has only two nonzero matrix elements.
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44. (formula presented) denotes the crossover temperature to the renormalized classical regime. When (formula presented), the (formula presented) symmetry is no-longer apparent and pair fluctuations dominate.
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