Weakly correlated electrons on a square lattice: a renormalization group theory

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dc.creatorZanchi, D.
dc.creatorSchulz, H. J.
dc.date1998-12-17
dc.date1998-12-18
dc.date.accessioned2026-07-07T03:12:26Z
dc.date.available2026-07-07T03:12:26Z
dc.descriptionWe formulate the exact Wilsonian renormalization group for a system of interacting fermions on a lattice. The flow equations for all vertices of the Wilson effective action are expressed in form of the Polchinski equation. We apply this method to the Hubbard model on a square lattice using both zero- and finite- temperature methods. Truncating the effective action at the sixth term in fermionic variables we obtain the one-loop functional renormalization equations for the effective interaction. We find the temperature of the instability Tc^{RG} as function of doping. We calculate furthermore the renormalization of the angle-resolved correlation functions for the superconductivity (SC) and for the antiferromagnetism (AF). The dominant component of the SC correlations is of the type d while the AF fluctuations are of the type s Following the strength of both SC and AF fluctuation along the instability line we obtain the phase diagram. The temperature Tc^{RG} can be identified with the crossover temperature T{co} found in the underdoped regime of the high-temperature superconductors, while in the overdoped regime Tc^{RG} corresponds to the superconducting critical temperature.
dc.description42 pages, 19 figures included (minor corrections)
dc.identifierhttps://arxiv.org/abs/cond-mat/9812303
dc.identifierhttp://arxiv.org/abs/cond-mat/9812303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28907
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleWeakly correlated electrons on a square lattice: a renormalization group theory
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