Decay of superconducting and magnetic correlations in one- and two-dimensional Hubbard models
- 25 May 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 68 (21) , 3248-3251
- https://doi.org/10.1103/physrevlett.68.3248
Abstract
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, electron pairs, and spin. 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.Keywords
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