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cond-mat.dis-nnApr 30, 1998
23
citations (OpenAlex)
authors
  • Alexander K. Hartmann
institutions
  • Heidelberg University
arXiv abstractPDF
paper

Are Ground States of 3d +/-J Spin Glasses ultrametric ?

arXiv:cond-mat/9804325 · doi:10.1209/epl/i1998-00464-8

Abstract

Ground states of 3d EA Ising spin glasses are calculated for sizes up to 14^3 using a combination of a genetic algorithm and Cluster-Exact Approximation. Evidence for an ultrametric structure is found by studying triplets of independent ground states where one or two values of the three overlaps are fixed.

5 pages, 5 figures

References in corpus (2)

  • Evidence for existence of many pure ground states in 3d ±J Spin Glasses
  • Ground state structure of diluted antiferromagnets and random field systems

Cited by in corpus (11)

  • Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
  • Ground-state behavior of the 3d +/-J random-bond Ising model
  • Calculation of ground states of four-dimensional +or- J Ising spin glasses
  • On the origin of ultrametricity
  • Is dynamic ultrametricity observable in spin glasses?
  • Ultrametricity in 3D Edwards-Anderson spin glasses
  • State Hierarchy Induced by Correlated Spin Domains in short range spin glasses
  • A new method for analyzing ground-state landscapes: ballistic search
  • Dynamic ultrametricity in finite dimensional spin glasses
  • Ultrametric Model of Mind, II: Application to Text Content Analysis
  • Ultrametric Component Analysis with Application to Analysis of Text and of Emotion
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