We consider the Ising model on an annealed scale-free network with node-degree distribution characterized by a power-law decay P(K)∼ K-λ. It is well established that the model is characterized by classical mean-field exponents for λ > 5. In this note we show that the specific-heat discontinuity δc_h at the critical point remains λ-dependent even for λ > 5: δch=3(λ-5)(λ-1)/[2(λ-3)^2] and attains its mean-field value δch=3/2 only in the limit λ → ∞. We compare this behaviour with recent measurements of the d dependency of δch made for the Ising model on lattices with d > 4.
Bibliographical noteThe full text is available from http://dx.doi.org/10.5488/CMP.18.44601
- Ising model
- scale-free networks
- annealed network
Krasnytska, M., Berche, B., Holovatch, Y., & Kenna, R. (2015). On the discontinuity of the specific heat of the Ising model on a scale-free network. Condensed Matter Physics, 18(4), 44601. https://doi.org/10.5488/CMP.18.44601