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arXiv:cond-mat/0412390 · Physics Letters A

Effects of edges in spin- 12 bond-alternating Heisenberg chains: matrix-product variational approach

Kei-ichi Funase, Shoji Yamamoto

Published Dec 15, 2004• 4 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2004.10.079

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We present a variational matrix product state (vMPS) for the ground state of the spin-1/2 Heisenberg model. The MPS effectively organizes the various dimer configurations, in faithful reflection of the resonating valence bond picture of the spin liquid, with the energy only 0.024% higher than the exact value given by Bethe ansatz. Building on the ground-state vMPS, the one-spin wave function is constructed in a simple manner with the dispersion that matches well with the exact spectrum. The vMPS scheme is applied to the family of Hamiltonian extrapolating between the Heisenberg model and the Majumdar-Ghosh model.