Corpus ID: 118714270

Zero-temperature criticality in the Gaussian random bond Ising model on a square lattice

@article{Dimitrova2011ZerotemperatureCI,
  title={Zero-temperature criticality in the Gaussian random bond Ising model on a square lattice},
  author={Olga V Dimitrova},
  journal={arXiv: Disordered Systems and Neural Networks},
  year={2011}
}
  • O. Dimitrova
  • Published 31 March 2011
  • Physics
  • arXiv: Disordered Systems and Neural Networks
The free energy and the specific heat of the two-dimensional Gaussian random bond Ising model on a square lattice are found with high accuracy using graph expansion method. At low temperatures the specific heat reveals a zero-temperature criticality described by the power law $C\propto T^{1+\alpha}$, with $\alpha= 0.55(8)$. Interpretation of the free energy in terms of independent two-level excitations gives the density of states, that follows a novel power law $\rho(\epsilon)\propto \epsilon… Expand

Figures from this paper