Many-body Theory vs Simulations for the pseudogap in the Hubbard model

Details Many-body Theory vs Simulations for the pseudogap in the Hubbard model Many-body Theory vs Simulations for the pseudogap in the Hubbard model

1999-08-03

arxiv.org/abs/cond-mat/9908053v2

Phys. Rev. B 61, 7887-7892 (2000).

Physics

Condensed Matter

Strongly Correlated Electrons

Accepted, Phys. Rev. B15 15Mar00. Expanded version of original submission, Latex, 8 pages, epsfig, 5 eps figures (Last one new

Scientific paper

10.1103/PhysRevB.61.7887

The opening of a critical-fluctuation induced pseudogap (or precursor pseudogap) in the one-particle spectral weight of the half-filled two-dimensional Hubbard model is discussed. This pseudogap, appearing in our Monte Carlo simulations, may be obtained from many-body techniques that use Green functions and vertex corrections that are at the same level of approximation. Self-consistent theories of the Eliashberg type (such as the Fluctuation Exchange Approximation) use renormalized Green functions and bare vertices in a context where there is no Migdal theorem. They do not find the pseudogap, in quantitative and qualitative disagreement with simulations, suggesting these methods are inadequate for this problem. Differences between precursor pseudogaps and strong-coupling pseudogaps are also discussed.

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