# Statistical mechanics of the Cluster-Ising model

@article{Smacchia2011StatisticalMO, 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}, year={2011}, volume={84}, pages={022304} }

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…

## 73 Citations

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Cluster states were introduced in the context of measurement based quantum computing. In one dimension, the cluster Hamiltonian possesses topologically protected states. We investigate the Floquet…

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A cluster Ising model with multispin interactions which can be exactly solved in the framework of free fermions is studied, finding that the ordinary critical point is ν=1, and the critical exponent that describes the scaling behaviors of the order parameter is β=ΔN_w/8.

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We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for…

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Ginzburg-Landau theory of continuous phase transitions implicitly assumes that microscopic changes are negligible in determining the thermodynamic properties of the system. In this work we provide…

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- PhysicsPhysical Review A
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(Dated: We study a cluster Ising model with non-Hermitian external ﬁeld which can be exactly solved in the language of free fermions. By investigating the second derivative of energy density and…

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Spin chains with two Ising symmetries are the Jordan-Wigner duals of one-dimensional interacting fermions with particle-hole and time-reversal symmetry. From earlier works on Majorana chains, it is…

### Dynamical quantum phase transitions in extended transverse Ising models

- Physics
- 2018

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions, following a sudden quench.…

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