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

Thomas G Kennedy, Elliott H. Lieb, Hal Tasaki

Research output: Contribution to journalArticle

52 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)383-415
Number of pages33
JournalJournal of Statistical Physics
Volume53
Issue number1-2
DOIs
StatePublished - Oct 1988
Externally publishedYes

Fingerprint

Antiferromagnet
Ground State
ground state
Correlation Function
Hexagonal Lattice
decay
Exponential Decay
Lattice Model
two dimensional models
Periodic Boundary Conditions
Square Lattice
Finite Volume
Continue
Model
Decay
boundary conditions
valence
Invariant

Keywords

  • Néel order
  • Quantum antiferromagnet

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state. / Kennedy, Thomas G; Lieb, Elliott H.; Tasaki, Hal.

In: Journal of Statistical Physics, Vol. 53, No. 1-2, 10.1988, p. 383-415.

Research output: Contribution to journalArticle

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