Exact ground states for two new spin-1 quantum chains, new features of matrix product states

Research output: Contribution to journalArticle


Research units

  • Sharif University of Technology


We use the matrix product formalism to find exact ground states of two new spin-1 quantum chains with nearest neighbor interactions. One of the models, model I, describes a one-parameter family of quantum chains for which the ground state can be found exactly. In certain limit of the parameter, the Hamiltonian turns into the interesting case H=∑ i (S i· S i+1) 2. The other model which we label as model II, corresponds to a family of solvable three-state vertex models on square lattices. The ground state of this model is highly degenerate and the matrix product states is a generating state of such degenerate states. The simple structure of the matrix product state allows us to determine the properties of degenerate states which are otherwise difficult to determine. For both models we find exact expressions for correlation functions.


Original languageEnglish
Pages (from-to)159-169
Number of pages11
JournalEuropean Physical Journal B
Issue number2
Publication statusPublished - 1 Mar 2008
MoE publication typeA1 Journal article-refereed

ID: 39187680