Manifestation of the Upper Hubbard band in the 2D Hubbard model at low electron density

Details Manifestation of the Upper Hubbard band in the 2D Hubbard model at low electron density Manifestation of the Upper Hubbard band in the 2D Hubbard model at low electron density

2011-05-23

arxiv.org/abs/1105.4428v1

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, accepted for Sov. Low. Temp. Phys

Scientific paper

We consider the 2D Hubbard model in the strong-coupling case (U>>W) and at low electron density (nd^2<<1). We find an antibound state as a pole in the two-particle T-matrix. The contribution of this pole in the self-energy reproduces a two-pole structure in the dressed one-particle Green-function similar to the Hubbard-I approximation. We also discuss briefly the Engelbrecht-Randeria mode which corresponds to the pairing of two holes below the bottom of the band for U>>W and low electron density. Both poles produce non-trivial corrections to Landau Fermi-liquid picture already at low electron density but do not destroy it in 2D

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