Ground State Projection of Quantum Spin Systems in the Valence-Bond Basis
- 8 November 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 95 (20) , 207203
Abstract
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.Keywords
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