Spin and link overlaps in 3-dimensional spin glasses

Details Spin and link overlaps in 3-dimensional spin glasses Spin and link overlaps in 3-dimensional spin glasses

2000-02-03

arxiv.org/abs/cond-mat/0002055v2

Phys. Rev. Lett. 85, 3013 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Extra fits comparing TNT to mean field, summarized in a table

Scientific paper

10.1103/PhysRevLett.85.3013

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''.

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