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

  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},
  volume={90 4},
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… 

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