Functional renormalization for spontaneous symmetry breaking in the Hubbard model

Details Functional renormalization for spontaneous symmetry breaking in the Hubbard model Functional renormalization for spontaneous symmetry breaking in the Hubbard model

2010-12-24

arxiv.org/abs/1012.5436v2

Phys. Rev. B83: 155125,2011

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 24 figures

Scientific paper

The phases with spontaneously broken symmetries corresponding to antiferromagnetic and d-wave superconducting order in the two-dimensional t-t'-Hubbard model are investigated by means of the functional renormalization group. The introduction of composite boson fields in the magnetic, charge density and superconducting channels allows an efficient parameterization of the four-fermion vertex and the study of regimes where either the antiferromagnetic or superconducting order parameter, or both, are nonzero. We compute the phase diagram and the temperature dependence of the order parameter below the critical temperature, where antiferromagnetic and superconductiving order show a tendency of mutual exclusion.

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