Projected BCS Wave Functions for Low Dimensional Frustrated Spin Systems

Details Projected BCS Wave Functions for Low Dimensional Frustrated Spin Systems Projected BCS Wave Functions for Low Dimensional Frustrated Spin Systems

2002-08-19

arxiv.org/abs/cond-mat/0208371v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 7 figures, to be published in the Proceedings of the "Enrico Fermi" Summer School (course CLI)

Scientific paper

Twenty-five years after the first proposal, the question whether the ground state of a frustrated spin-half system is well described by a spin-liquid Resonating Valence Bond (RVB) wave function is still controversial. A physically transparent representation of a RVB state can be obtained in fermionic representation with a standard BCS-type pairing wave function, working in the subspace with fixed number of electrons and no double occupancies. In this work, we show that, using this variational wave function with a careful parameterization of the pairing function, it is possible to obtain an extremely accurate {\em ansatz} for the ground state of the Heisenberg antiferromagnet with next-nearest neighbors interactions ($J_{1}{-}J_{2}$ model) in the regime of strong frustration. Indeed, in the spin-half realization of this model, it is known that the combined effect of frustration and zero-point motion interferes with the mechanism of spontaneously broken symmetry, giving rise to a non-magnetic phase of purely quantum-mechanical nature ($J_2/J_1\simeq 0.5$). This wave function is proposed to represent the generic spin-half RVB ground state in spin liquids.

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