Statistical mechanics of the Cluster-Ising model

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.


Tutti gli autori

  • FACCHI P.;PASCAZIO S.

Titolo volume/Rivista

Non Disponibile


Anno di pubblicazione

2011

ISSN

1050-2947

ISBN

Non Disponibile


Numero di citazioni Wos

43

Ultimo Aggiornamento Citazioni

Non Disponibile


Numero di citazioni Scopus

41

Ultimo Aggiornamento Citazioni

Non Disponibile


Settori ERC

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Codici ASJC

Non Disponibile