Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-03-02
Phys. Rev. B 64, 094402 (2001).
Physics
Condensed Matter
Disordered Systems and Neural Networks
10 pages, 8 figures, submitted to PRB, original submission had fig4 and fig5 not readable. No changes have been made
Scientific paper
10.1103/PhysRevB.64.094402
We investigate the phase structure of the random-field Ising model with a bimodal random field distribution. Our aim is to test for the possibility of an equilibrium spin-glass phase, and for replica symmetry breaking (RSB) within such a phase. We study a low-temperature region where the spin-glass phase is thought to occur, but which has received little numerical study to date. We use the exchange Monte-Carlo technique to acquire equilibrium information about the model, in particular the $P(q)$ distribution and the spectrum of eigenvalues of the spin-spin correlation matrix (which tests for the presence of RSB). Our studies span the range in parameter space from the ferromagnetic to the paramagnetic phase. We find however no convincing evidence for any equilibrium glass phase, with or without RSB, between these two phases. Instead we find clear evidence (principally from the $P(q)$ distribution) that there are only two phases at this low temperature, with a discontinuity in the magnetization at the transition like that seen at other temperatures.
Canright Geoff
Sinova Jairo
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