TY - JOUR

T1 - On a Classical Spin Glass Model

AU - van Hemmen, JL

AU - Enter, A.C.D. van

AU - Canisius, J.

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi
Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

PY - 1983

Y1 - 1983

N2 - A simple, exactly soluble, model of a spin-glass with weakly correlated disorder is presented. It includes both randomness and frustration, but its solution can be obtained without replicas. As the temperature T is lowered, the spin-glass phase is reached via an equilibrium phase transition at T=Tf. The spin-glass magnetization exhibits a distinct S-shape character, which is indicative of a field-induced transition to a state of higher magnetization above a certain threshold field.
For suitable probability distributions of the exchange interactions.
(a) A mixed phase is found where spin-glass and ferromagnetism coexist.
(b) The zero-field susceptibility has a flat plateau for 0≤T≤Tf and a Curie-Weiss behaviour for T>Tf.
(c) At low temperatures the magnetic specific heat is linearly dependent on the temperature.
The physical origin of the dependence upon the probability distributions is explained, and a careful analysis of the ground state structure is given.

AB - A simple, exactly soluble, model of a spin-glass with weakly correlated disorder is presented. It includes both randomness and frustration, but its solution can be obtained without replicas. As the temperature T is lowered, the spin-glass phase is reached via an equilibrium phase transition at T=Tf. The spin-glass magnetization exhibits a distinct S-shape character, which is indicative of a field-induced transition to a state of higher magnetization above a certain threshold field.
For suitable probability distributions of the exchange interactions.
(a) A mixed phase is found where spin-glass and ferromagnetism coexist.
(b) The zero-field susceptibility has a flat plateau for 0≤T≤Tf and a Curie-Weiss behaviour for T>Tf.
(c) At low temperatures the magnetic specific heat is linearly dependent on the temperature.
The physical origin of the dependence upon the probability distributions is explained, and a careful analysis of the ground state structure is given.

M3 - Article

VL - 50

SP - 311

EP - 336

JO - Zeitschrift für Physik. B: Condensed Matter

JF - Zeitschrift für Physik. B: Condensed Matter

SN - 0722-3277

IS - 4

ER -