https://doi.org/10.1140/epjb/e2008-00143-8
Exact ground states for two new spin-1 quantum chains, new features of matrix product states
Department of Physics, Sharif University of Technology, P.O. Box 11155, Tehran, Iran
Corresponding authors: a salipour@physics.sharif.ir - b vahid@sharif.edu - c laleh@physics.sharif.edu
Received:
23
October
2007
Revised:
3
March
2008
Published online:
11
April
2008
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 
. 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.
PACS: 75.10.Jm – Quantized spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
