Decay of Superconducting and Magnetic Correlations in One- and Two-Dimensional Hubbard Models

Details Decay of Superconducting and Magnetic Correlations in One- and Two-Dimensional Hubbard Models Decay of Superconducting and Magnetic Correlations in One- and Two-Dimensional Hubbard Models

1997-09-05

arxiv.org/abs/cond-mat/9709068v1

Phys. Rev. Lett. 68 (1992) 2348

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 8 pages, no figures. A reference appeared after the publication is added

Scientific paper

10.1103/PhysRevLett.68.3248

In a general class of one and two dimensional Hubbard models, we prove upper bounds for the two-point correlation functions at finite temperatures for electrons, for electron pairs, and for spins. The upper bounds decay exponentially in one dimension, and with power laws in two dimensions. The bounds rule out the possibility of the corresponding condensation of superconducting electron pairs, and of the corresponding magnetic ordering. Our method is general enough to cover other models such as the t-J model.

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