Are Ground States of 3d +/-J Spin Glasses ultrametric ?
Alexander K. Hartmann
TL;DR
This paper investigates whether the ground states of 3D +/-J spin glasses exhibit ultrametric structure, using computational methods to analyze overlaps among ground state triplets.
Contribution
It provides computational evidence supporting ultrametricity in the ground states of 3D EA Ising spin glasses.
Findings
Evidence of ultrametric structure in ground states
Analysis of triplet overlaps supports ultrametricity
Ground states calculated for sizes up to 14^3
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.
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