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

2008/06/30 by Hong-Hao Tu, Guang-Ming Zhang, Tao Xiang · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.78.094404

published as Phys. Rev. B 78, 094404 (2008) (Editors' suggestion) · 11 pages, 5 figures

openalex publication_date 2008/09/08 · arxiv created 2008/09/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We introduce a class of exactly solvable SO(n) symmetric Hamiltonians with matrix product ground states. For an odd n\ensuremath≥3 case, the ground state is a translational invariant Haldane gap spin liquid state; while for an even n\ensuremath≥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.

Citations

• On Next-Nearest-Neighbor Interaction in Linear Chain. I
• Antiferromagnetic model with known ground state
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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