Spin and link overlaps in 3-dimensional spin glasses

Preprint

5 September 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0002055

Abstract

Excitations of three-dimensional spin glasses are computed numerically. We find that one can flip a finite fraction of an LxLxL lattice with an O(1) energy cost, confirming the mean field picture of a non-trivial spin overlap distribution P(q). These low energy excitations are not domain-wall-like, rather they are topologically non-trivial and they reach out to the boundaries of the lattice. Their surface to volume ratios decrease as L increases and may asymptotically go to zero. If so, link and window overlaps between the ground state and these excited states become ``trivial''.

Keywords

DIMENSIONAL SPIN GLASSES
COMPUTED NUMERICALLY
GLASSES EXCITATIONS
EXCITED STATES
LINK OVERLAPS
SPIN GLASSES
TRIVIAL
LATTICE

All Related Versions

Version 1, 2000-02-03, ArXiv
Version 2, 2000-09-05, ArXiv
Published version: Physical Review Letters, 85 (14), 3013.

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