A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices

Abstract

e classify the matrix product states having only spin-flip and parity symmetries, which can be constructed from two dimensional auxiliary matrices. We show that there are three distinct classes of such states and in each case, we determine the parent Hamiltonian and the points of possible quantum phase transitions. For two of the models, the interactions are three-body and for one the interaction is two-body

17 pages, 3 figures

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Cited by in corpus (2)

• Classification of matrix product ground states corresponding to one dimensional chains of two state sites of nearest neighbor interactions
• A new family of matrix product states with Dzyaloshinski-Moriya interactions