Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states

Details Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states

2008-06-11

arxiv.org/abs/0806.1839v3

Phys. Rev. B 78, 094404 (2008) (Editors' suggestion)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 5 figures

Scientific paper

10.1103/PhysRevB.78.094404

We introduce a class of exactly solvable SO(n) symmetric Hamiltonians with matrix product ground states. For an odd $n\geq 3$ case, the ground state is a translational invariant Haldane gap spin liquid state; while for an even $n\geq 4$ case, the ground state is a spontaneously dimerized state with twofold degeneracy. In the matrix product ground states for both cases, we identify a hidden antiferromagnetic order, which is characterized by nonlocal string order parameters. The ground-state phase diagram of a generalized SO(n) symmetric bilinear-biquadratic model is discussed.

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