Evolution of the spectrum of the Hubbard model with filling

Details Evolution of the spectrum of the Hubbard model with filling Evolution of the spectrum of the Hubbard model with filling

2006-02-23

arxiv.org/abs/cond-mat/0602537v1

Condensed Matter Physics 9, No. 3(47), 535--544 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 3 figures

Scientific paper

The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and annihilation operators. For Green's function an equation of the Larkin type is derived and solved in a one-loop approximation for the case of two dimensions and nearest-neighbor hopping. With decreasing the electron concentration in addition to the four bands observed at half-filling a narrow band arises near the Fermi level. The dispersion of the new band, its bandwidth and the variation with filling are close to those of the spin-polaron band in the t-J model.

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