# Quantum phase transitions in networks of Lipkin-Meshkov-Glick models.

@article{Sorokin2014QuantumPT, title={Quantum phase transitions in networks of Lipkin-Meshkov-Glick models.}, author={Aleksandr V. Sorokin and Victor M. Bastidas and Tobias Brandes}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={90 4}, pages={ 042141 } }

We study the quantum critical behavior of networks consisting of Lipkin-Meshkov-Glick models with an anisotropic ferromagnetic coupling. We focus on the low-energy properties of the system within a mean-field approach and the quantum corrections around the mean-field solution. Our results show that the weak-coupling regime corresponds to the paramagnetic phase when the local field dominates the dynamics, but the local anisotropy leads to the existence of an exponentially degenerate ground state…

## 4 Citations

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We introduce a group-theoretical extension of the Dicke model which describes an ensemble of two-level atoms interacting with a finite radiation field. The latter is described by a spin model whose…

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