Statistical mechanics of the Cluster-Ising model

  title={Statistical mechanics of the Cluster-Ising model},
  author={Pietro Smacchia and Luigi Amico and Paolo Facchi and Rosario Fazio and Giuseppe Florio and Saverio Pascazio and Vlatko Vedral},
  journal={Physical Review A},
We study a Hamiltonian system describing a three-spin-1/2 clusterlike interaction competing with an Ising-like antiferromagnetic interaction. We compute free energy, spin-correlation functions, and entanglement both in the ground and in thermal states. The model undergoes a quantum phase transition between an Ising phase with a nonvanishing magnetization and a cluster phase characterized by a string order. Any two-spin entanglement is found to vanish in both quantum phases because of a… 

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