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Classification of matrix product ground states corresponding to one dimensional chains of two state sites of nearest neighbor interactions

arXiv:1105.0994 · doi:10.1103/PhysRevA.83.042108

Abstract

A complete classification is given for one dimensional chains with nearest neighbor interactions having two states in each site, for which a matrix product ground state exists. The Hamiltonians and their corresponding matrix product ground states are explicitly obtained.

17 pages, LaTeX2e