Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Today

Spin Glass I: A Scaling Law Rescued

Philip Warren Anderson

Published Jan 1, 1988• 15 citations
Publisher
DOI
10.1063/1.2811268

Related papers

Scaling in a Space of Spin-Glass States

World Scientific lecture notes in physics•Jan 1, 1995•0 citations

Spin glass dynamics through the lens of the coherence length

J. He, R. Orbach

Spin glass coherence lengths can be extracted from experiment and from numerical simulations. They encompasses the correlated region, and their growth in time makes them a useful tool for exploration of spin glass dynamics. Because they play the role of a fundamental length scale, they control the transition from the reversible to the chaotic state. This review explores their use for spin glass properties, ranging from scaling laws to rejuvenation and memory.

Frontiers in Physics•Mar 20, 2024•4 citations

Spin Glass Dynamics: Finite Size Effects

Samaresh Guchhait, R. Orbach

Bulletin of the American Physical Society•Mar 6, 2015•0 citations

On a scaling law for the nonequilibrium relaxation of spin glasses

H. Eissfeller, Wolfgang Kinzel

A scaling relation between remanent magnetization and excess energy of spin-glasses is tested numerically. Based on a simple domain picture of non-equilibrium states of spin-glasses a power law can be derived, which relates the excess energy to the remanent magnetization Delta E varies as M x . The exponent x is related to the interface exponent y, which determines whether a spin-glass phase exists for T=0 or not. Therefore equilibrium properties can be determined by measurement of non-equilibrium quantities, x is calculated numerically for different temperatures T and the spatial dimensions d=2 and d=3. The numerical results are consistent with the suggested scaling relation.

Journal of Physics A Mathematical and General•Mar 21, 1992•4 citations

Scaling Analysis of Domain-Wall Free Energy in the Edwards-Anderson Ising Spin Glass in a Magnetic Field

M. Sasaki, Koji Hukushima, Hajime Yoshino +1 more

The stability of the spin-glass phase against a magnetic field is studied in the three- and four-dimensional Edwards-Anderson Ising spin glasses. Effective couplings J(eff) and effective fields H(eff) associated with length scale L are measured by a numerical domain-wall renormalization-group method. The results obtained by scaling analysis of the data strongly indicate the existence of a crossover length beyond which the spin-glass order is destroyed by field H. The crossover length well obeys a power law of H which diverges as H --> 0 but remains finite for any nonzero H, implying that the spin-glass phase is absent even in an infinitesimal field. These results are well consistent with the droplet theory for short-range spin glasses.

arXiv:cond-mat/0702302•Physical Review Letters•Sep 25, 2007•24 citations

SPIN GLASSES AND REPLICAS

Giorgio Parisi A

•Jan 1, 1984•0 citations
A scaling relation between remanent magnetization and excess energy of spin-glasses is tested numerically. Based on a simple domain picture of non-equilibrium states of spin-glasses a power law can be derived, which relates the excess energy to the remanent magnetization Delta E varies as M x . The exponent x is related to the interface exponent y, which determines whether a spin-glass phase exists for T=0 or not. Therefore equilibrium properties can be determined by measurement of non-equilibrium quantities, x is calculated numerically for different temperatures T and the spatial dimensions d=2 and d=3. The numerical results are consistent with the suggested scaling relation.
The stability of the spin-glass phase against a magnetic field is studied in the three- and four-dimensional Edwards-Anderson Ising spin glasses. Effective couplings J(eff) and effective fields H(eff) associated with length scale L are measured by a numerical domain-wall renormalization-group method. The results obtained by scaling analysis of the data strongly indicate the existence of a crossover length beyond which the spin-glass order is destroyed by field H. The crossover length well obeys a power law of H which diverges as H --> 0 but remains finite for any nonzero H, implying that the spin-glass phase is absent even in an infinitesimal field. These results are well consistent with the droplet theory for short-range spin glasses.