Four-point vertex in the Hubbard model and partial bosonization

Abstract

Magnetic and superconducting instabilities in the two-dimensional t-t'-Hubbard model are discussed within a functional renormalization group approach. The fermionic four-point vertex is efficiently parametrized by means of partial bosonization. The exchange of composite bosons in the magnetic, charge density and superconducting channels accounts for the increase of the effective couplings with increasing length scale. We compute the pseudocritical temperature for the onset of local order in various channels.

arXiv comment11 pages, 14 figures, equivalent to published version

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Cited by in corpus (26)

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• The nonperturbative functional renormalization group and its applications
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• Superconductivity in the two-dimensional $t$-$t^{\prime }$-Hubbard model
• Consistent partial bosonization of the extended Hubbard model
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• Effective interactions and fluctuation effects in spin-singlet superfluids
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