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.
Original language | English (US) |
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Pages (from-to) | 383-415 |
Number of pages | 33 |
Journal | Journal of Statistical Physics |
Volume | 53 |
Issue number | 1-2 |
DOIs | |
State | Published - Oct 1988 |
Keywords
- Néel order
- Quantum antiferromagnet
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics