Novel order parameter to describe the critical behavior of Ising spin glass models

Details Novel order parameter to describe the critical behavior of Ising spin glass models Novel order parameter to describe the critical behavior of Ising spin glass models

2005-06-29

arxiv.org/abs/cond-mat/0506767v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 4 figures, to appear in Physica A

Scientific paper

10.1016/j.physa.2005.08.052

A novel order parameter $\Phi$ for spin glasses is defined based on topological criteria and with a clear physical interpretation. $\Phi$ is first investigated for well known magnetic systems and then applied to the Edwards-Anderson $\pm J$ model on a square lattice, comparing its properties with the usual $q$ order parameter. Finite size scaling procedures are performed. Results and analyses based on $\Phi$ confirm a zero temperature phase transition and allow to identify the low temperature phase. The advantages of $\Phi$ are brought out and its physical meaning is established.

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