Compressibility of the Two-Dimensional infinite-U Hubbard Model

Details Compressibility of the Two-Dimensional infinite-U Hubbard Model Compressibility of the Two-Dimensional infinite-U Hubbard Model

1999-04-16

arxiv.org/abs/cond-mat/9904235v2

Phys. Rev. Lett. 83, 2046 (1999).

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 eps figures, final version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.83.2046

We study the interactions between the coherent quasiparticles and the incoherent Mott-Hubbard excitations and their effects on the low energy properties in the $U=\infty$ Hubbard model. Within the framework of a systematic large-N expansion, these effects first occur in the next to leading order in 1/N. We calculate the scattering phase shift and the free energy, and determine the quasiparticle weight Z, mass renormalization, and the compressibility. It is found that the compressibility is strongly renormalized and diverges at a critical doping $\delta_c=0.07\pm0.01$. We discuss the nature of this zero-temperature phase transition and its connection to phase separation and superconductivity.

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