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A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state

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Abstract

We continue the study of valence-bond solid antiferromagnetic quantum Hamiltonians. These Hamiltonians are invariant under rotations in spin space. We prove that a particular two-dimensional model from this class (the spin-3/2 model on the hexagonal lattice) has a unique ground state in the infinite-volume limit and hence no Néel order. Moreover, all truncated correlation functions decay exponentially in this ground state. We also characterize all the finite-volume ground states of these models (in every dimension), and prove that the two-point correlation function of the spin-2 square lattice model with periodic boundary conditions has exponential decay.

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Authors and Affiliations

  1. Department of Physics, Princeton University, 08544, Princeton, New Jersey

    Tom Kennedy, Elliott H. Lieb & Hal Tasaki

Authors
  1. Tom Kennedy
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  2. Elliott H. Lieb
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  3. Hal Tasaki
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Kennedy, T., Lieb, E.H. & Tasaki, H. A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state. J Stat Phys 53, 383–415 (1988). https://doi.org/10.1007/BF01011563

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