English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We revisit the Haake-Lewenstein-Wilkens (HLW) approach to Edwards-Anderson(EA) model of Ising spin glass [Phys. Rev. Lett. 55, 2606 (1985)]. Thisapproach consists in evaluation and analysis of the probability distribution ofconfigurations of two replicas of the system, averaged over quenched disorder.This probability distribution generates squares of thermal copies of spinvariables from the two copies of the systems, averaged over disorder, that isthe terms that enter the standard definition of the original EA orderparameter, qEA. We use saddle point/steepest descent method to calculate theaverage of the Gaussian disorder in higher dimensions. This approximate resultsuggest that qEA >0 at 0 <T <Tc in 3D and 4D. The case of 2D seems to be alittle more subtle, since in the present approach energy increase for a domainwall competes with boundary/edge effects more strongly in 2D; still ourapproach predicts spin glass order at sufficiently low temperature. Wespeculate, how these predictions confirm/contradict widely spread opinionsthat: i) There exist only one (up to the spin flip) ground state in EA model in2D, 3D and 4D; ii) There is (no) spin glass transition in 3D and 4D (2D). Thispaper is dedicated to the memories of Fritz Haake and Marek Cieplak.

Haake-Lewenstein-Wilkens approach to spin-glasses revisited