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

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  • Asoudeh, Marzieh

Abstract

We 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 the other the interaction is two-body.

Suggested Citation

  • Asoudeh, Marzieh, 2010. "A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1555-1564.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:8:p:1555-1564
    DOI: 10.1016/j.physa.2009.12.016
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