# Mean-field models with short-range correlations

@article{Ostilli2011MeanfieldMW, title={Mean-field models with short-range correlations}, author={Massimo Ostilli}, journal={EPL (Europhysics Letters)}, year={2011}, volume={97}, pages={50008} }

Given an arbitrary finite dimensional Hamiltonian H0, we consider the model H=H0+ΔH, where ΔH is a generic fully connected interaction. By using the strong law of large numbers, we easily prove that, for all such models, a generalized Curie-Weiss mean-field equation holds. Unlike traditional mean-field models, the term H0 gives rise to short-range correlations and, furthermore, when H0 has negative couplings, first-order phase transitions and inverse transition phenomena may take place even…

## 2 Citations

### Absence of small-world effects at the quantum level and stability of the quantum critical point.

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- 2020

It is proved that at the quantum level the above scenario does not apply: when an O(N) number of new couplings are randomly superimposed onto a quantum Ising chain, its quantum critical point and behavior both remain unchanged.

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