Two models of spin glasses -- Ising versus Heisenberg

Details Two models of spin glasses -- Ising versus Heisenberg Two models of spin glasses -- Ising versus Heisenberg

2010-03-18

arxiv.org/abs/1003.3510v1

J. Phys. Conf. Ser. 233, 012012 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

In the Proceedings of the IW-SMI 2010 (J. Phys. Conf. Series)

Scientific paper

Brief review is given on recent numerical research of the ordering of two typical models of spin glasses (SGs), the three-dimensional (3D) Ising SG and the 3D Heisenberg SG models. Particular attention is paid to the questions of whether there is a thermodynamic transition in zero field, what are the associated critical properties, what is the nature of the ordered state, particularly of a possible replica-symmetry breaking, and whether there is a thermodynamic transition in applied fields. The properties of the two models are contrasted, and possible relation to experiments is discussed.

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