State Hierarchy Induced by Correlated Spin Domains in short range spin glasses

Details State Hierarchy Induced by Correlated Spin Domains in short range spin glasses State Hierarchy Induced by Correlated Spin Domains in short range spin glasses

2001-04-16

arxiv.org/abs/cond-mat/0104264v2

Phys. Rev. B 64, 224406 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

30 pages, 17 figures

Scientific paper

10.1103/PhysRevB.64.224406

We generate equilibrium configurations for the three and four dimensional Ising spin glass with Gaussian distributed couplings at temperatures well below the transition temperature T_c. These states are analyzed by a recently proposed method using clustering. The analysis reveals a hierarchical state space structure. At each level of the hierarchy states are labeled by the orientations of a set of correlated macroscopic spin domains. Our picture of the low temperature phase of short range spin glasses is that of a State Hierarchy Induced by Correlated Spin domains (SHICS). The complexity of the low temperature phase is manifest in the fact that the composition of such a spin domain (i.e. its constituent spins), as well as its identifying label, are defined and determined by the ``location'' in the state hierarchy at which it appears. Mapping out the phase space structure by means of the orientations assumed by these domains enhances our ability to investigate the overlap distribution, which we find to be non-trivial. Evidence is also presented that these states may have a non-ultrametric structure.

Affiliated with

Also associated with

No associations

Rating

State Hierarchy Induced by Correlated Spin Domains in short range spin glasses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with State Hierarchy Induced by Correlated Spin Domains in short range spin glasses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and State Hierarchy Induced by Correlated Spin Domains in short range spin glasses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-483979