Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-12-20
Phys. Rev. E 77, 061139 (2008)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 7 figures
Scientific paper
10.1103/PhysRevE.77.061139
We study the diluted Ising ferromagnet on the Bethe lattice as a case study for the application of the cavity method to problems with Griffiths-McCoy singularities. Specifically, we are able to make much progress at infinite coupling where we compute, from the cavity method, the density of Lee-Yang zeroes in the paramagnetic Griffiths region as well as the properties of the phase transition to the ferromagnet. This phase transition is itself of a Griffiths-McCoy character albeit with a power law distribution of cluster sizes.
Laumann Chris
Scardicchio Antonello
Sondhi Shivaji L.
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