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Phys. Rev. Lett. 87, 097201 (2001) [4 pages]

Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems

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Luca Capriotti1, Federico Becca2, Alberto Parola3, and Sandro Sorella4
1Istituto Nazionale per la Fisica della Materia, Unità di Firenze, I-50125 Firenze, Italy
2Institut de Physique Théorique, Université de Lausanne, CH-1015 Lausanne, Switzerland
3Istituto Nazionale per la Fisica della Materia and Dipartimento di Scienze, Università dell'Insubria, I-22100 Como, Italy
4Istituto Nazionale per la Fisica della Materia, and SISSA, I-34014 Trieste, Italy

Received 23 April 2001; published 8 August 2001

The resonating-valence-bond (RVB) theory for two-dimensional quantum antiferromagnets is shown to be the correct paradigm for large enough “quantum frustration.” This scenario, proposed a long time ago but never confirmed by microscopic calculations, is strongly supported by a new type of variational wave function, which is extremely close to the exact ground state of the J1-J2 Heisenberg model for 0.4≲J2/J1≲0.5. This wave function is proposed to represent the generic spin-half RVB ground state in spin liquids.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.097201
DOI:
10.1103/PhysRevLett.87.097201
PACS:
75.10.Jm, 71.27.+a, 74.20.Mn