• Corpus ID: 208548534

Quantum Ising chains with small-world couplings: No small-world effect at the quantum level; Stability of the quantum critical point

  title={Quantum Ising chains with small-world couplings: No small-world effect at the quantum level; Stability of the quantum critical point},
  author={Massimo Ostilli},
  journal={arXiv: Statistical Mechanics},
  • M. Ostilli
  • Published 3 December 2019
  • Physics
  • arXiv: Statistical Mechanics
Due to the small-world effect, the critical behavior of finite dimensional classical systems of N spins is known to change radically when an O(N) number of couplings are randomly rewired or superimposed onto the original system. In particular, one-dimensional systems acquire a finite critical temperature while two-dimensional systems get higher critical temperatures and, in both cases, the critical behavior turns out to be mean-field like. Here, we prove that at the quantum level the above… 

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