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Title: Statistical mechanics of the cluster Ising model
Authors: Smacchia, P.
Amico, L.
Facchi, P.
Fazio, R.
Florio, G.
Pascazio, S.
Vedral, V. 
Issue Date: 2-Aug-2011
Citation: Smacchia, P., Amico, L., Facchi, P., Fazio, R., Florio, G., Pascazio, S., Vedral, V. (2011-08-02). Statistical mechanics of the cluster Ising model. Physical Review A - Atomic, Molecular, and Optical Physics 84 (2) : -. ScholarBank@NUS Repository.
Abstract: 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 nontrivial correlation pattern. Nevertheless, the residual multipartite entanglement is maximal in the cluster phase and dependent on the magnetization in the Ising phase. We study the block entropy at the critical point and calculate the central charge of the system, showing that the criticality of the system is beyond the Ising universality class. © 2011 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
DOI: 10.1103/PhysRevA.84.022304
Appears in Collections:Staff Publications

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