Exact Ground States of One-Dimensional Quantum Systems: Matrix Product Approach

Abstract

By using the so-called matrix-product ground state approach, a few one-dimensional quantum systems, including a frustrated spin-1/2 Heisenberg ladder, the ferromagnetic t-J-V model at half-filling, the antiferromagnetic $J_z-V$ at 2/3 filling and the antiferromagnetic $t-J_z-V$ model at half-filling, are solved exactly. The correlation functions in the ground states are calculated respectively. Some relevant results are also discussed.

Revtex, 16 pages, no figures

References in corpus (7)

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• Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
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Cited by in corpus (2)

• A new family of models with exact ground states connecting smoothly the S=1/2 dimer and S=1 Haldane phases of 1D spin chains
• Elementary excitations in the gapped phase of a frustrated S=1/2 spin ladder: from spinons to the Haldane triplet