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Valence Bond Mapping of Antiferromagnetic Spin Chains

Jorge Dukelsky·Stuart Pittel
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Abstract

Boson mapping techniques are developed to describe valence bond correlations in quantum spin chains. Applying the method to the alternating bond hamiltonian for a generic spin chain, we derive an analytic expression for the transition points which gives perfect agreement with existing Density Matrix Renormalization Group (DMRG) and Quantum Monte Carlo (QMC) calculations.

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Jorge Dukelsky, Stuart Pittel. 1997-03-18. Valence Bond Mapping of Antiferromagnetic Spin Chains. https://doi.org/10.1103/physrevb.56.10770

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