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Physica Scripta

Some new ideas on RVB states: generalized flux phases

P. W. Anderson

Published Jan 1, 1989• 38 citations
Publisher

Abstract

We here propose the concept of generalized flux for the 3d one-band Hubbard model. These are phases in which a spontaneous vorticity proportional to the number of electrons develops self-consistently. Their properties are somewhat dissimilar from other RVB states.
DOI
10.1088/0031-8949/1989/t27/007

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We describe a new method to numerically evaluate the properties of correlated superconducting wave functions. We have applied it to the resonating-valence-bond (RVB) wave function for the Hubbard model on the square lattice. For the half-filled case we find that the ddd-wave RVB state and the antiferromagnetic ordered state have the same energy within numerical accuracy. At 10% doping we find ddd-wave superconductivity, consistent with previous studies. We show that the superconducting order parameter is proportional to the number of holes, for small hole concentrations.