Matrix product representations for spin-(1/2) and spin-(3/2) spontaneous quantum ferrimagnetsS. Alipour1, S. Baghbanzadeh2 and V. Karimipour1
1 Department of Physics, Sharif University of Technology - P.O. Box 11155-9161, Tehran, Iran
2 Department of Physics, Iran University of Science and Technology - P.O. Box 16765-163, Tehran, Iran
received 16 June 2008; accepted in final form 5 November 2008; published December 2008
published online 7 January 2009
Using the matrix product formalism, we find exact ground states for two new spin-() and spin-() quantum chains. On a lattice of sites, these ground states have a total spin of , and hence have ferrimagnetic character. The novel point of this construction is that we construct a matrix product representation, not for a state which is invariant under rotation as has been hitherto considered, but for a state which transforms to other states under this symmetry operation. The method can be directly generalized to other symmetry groups.
75.10.Jm - Quantized spin models.
03.67.-a - Quantum information.
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