Triviality of the Ground State Structure in Ising Spin Glasses

Preprint

13 December 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9906323

Abstract

We investigate the ground state structure of the three-dimensional Ising spin glass in zero field by determining how the ground state changes in a fixed finite block far from the boundaries when the boundary conditions are changed. We find that the probability of a change in the block ground state configuration tends to zero as the system size tends to infinity. This indicates a trivial ground state structure, as predicted by the droplet theory. Similar results are also obtained in two dimensions.

Keywords

GROUND STATE STRUCTURE
TRIVIAL GROUND STATE
ISING SPIN GLASSES
STATE STRUCTURE
SPIN GLASSES
TRIVIALITY

All Related Versions

Version 1, 1999-06-21, ArXiv
Version 2, 1999-12-13, ArXiv
Published version: Physical Review Letters, 83 (24), 5126.

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