Journal Article


J. R. Wedagedera
T. C. Dorlas



hamiltonian free energy patrick phase ferromagnetic spin glass nature tree

The Phase Diagram of a Spin Glass on a Tree with Ferromagnetic Interactions (2000)

Abstract A spin glass problem on a Cayley tree with ferromagnetic interactions is solved rigorously. Using a level-I large deviation argument together with the martingale approach used by Bullet, Patrick and Pulé [1], explicit expressions for the free energy are derived in different regions of the phase diagram. It is found that there are four phases: a paramagnetic phase, a spin-glass phase, a ferromagnetic phase and a mixed phase. The nature of the phase diagram depends on the power with which the ferromagnetic term occurs in the Hamiltonian.
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Full list of authors on original publication

J. R. Wedagedera, T. C. Dorlas

Experts in our system

T. C. Dorlas
Total Publications: 44