Phys. Rev. Lett. 95, 207203 (2005) [4 pages]Ground State Projection of Quantum Spin Systems in the Valence-Bond BasisReceived 18 August 2005; published 8 November 2005 A Monte Carlo method for quantum spin systems is formulated in the valence-bond basis. The nonorthogonality allows for an efficient importance-sampled projection of the ground state out of an arbitrary state. The method provides access to resonating valence-bond physics, enables a direct estimator for the singlet-triplet gap, and extends the class of models that can be studied without negative-sign problems. As a demonstration, the valence-bond distribution in the ground state of the 2D Heisenberg antiferromagnet is calculated. Generalizations of the method to fermion systems are also discussed. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.207203
DOI:
10.1103/PhysRevLett.95.207203
PACS:
75.10.Jm, 05.10.Ln, 05.30.−d
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