Projected BCS Wave Functions for Low Dimensional Frustrated Spin Systems

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dc.creatorCapriotti, Luca
dc.creatorBecca, Federico
dc.creatorParola, Alberto
dc.creatorSorella, Sandro
dc.date2002-08-19
dc.date.accessioned2026-07-07T02:46:53Z
dc.date.available2026-07-07T02:46:53Z
dc.descriptionTwenty-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.
dc.description10 pages, 7 figures, to be published in the Proceedings of the "Enrico Fermi" Summer School (course CLI)
dc.identifierhttps://arxiv.org/abs/cond-mat/0208371
dc.identifierhttp://arxiv.org/abs/cond-mat/0208371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19806
dc.subjectStrongly Correlated Electrons
dc.titleProjected BCS Wave Functions for Low Dimensional Frustrated Spin Systems
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