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

By Amir H. Fatollahi, Mohammad Khorrami, Ahmad Shariati and Amir Aghamohammadi

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.Comment: 17 pages, LaTeX2

Topics: Quantum Physics, Condensed Matter - Statistical Mechanics
Year: 2011
DOI identifier: 10.1103/PhysRevA.83.042108
OAI identifier: oai:arXiv.org:1105.0994
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