Finite size and boundary effects in critical two-dimensional free-fermion models

@article{Izmailian2017FiniteSA,
  title={Finite size and boundary effects in critical two-dimensional free-fermion models},
  author={Nikolay Sh. Izmailian},
  journal={The European Physical Journal B},
  year={2017},
  volume={90},
  pages={1-18}
}
  • N. Izmailian
  • Published 28 August 2017
  • Physics
  • The European Physical Journal B
Abstract Here we will consider the finite-size scaling, finite-size corrections and boundary effects for the critical two-dimensional free-fermion models. A short review of significant achievements and possibilities is given. However, this review is still far from completeness. We derive the exact finite-size corrections for the set of free models of statistical mechanics, including Ising model, dimer model, resistor network and spanning tree model under different boundary conditions. We have… 
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3 Citations

3 Citations

Citation Type

Citation Type

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Analysis of changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs shows that when the variance of the noise reaches one, there is a jump of the ground state from the fully correlated state to an uncorrelated state.
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