Spin and link overlaps in 3-dimensional spin glasses

F. Krzakala; O.C. Martin

Spin and link overlaps in 3-dimensional spin glasses

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arxiv cond-mat/0002055 v2 pith:S3H2BBHY submitted 2000-02-03 cond-mat.dis-nn cond-mat.stat-mech

Spin and link overlaps in 3-dimensional spin glasses

F. Krzakala , O.C. Martin This is my paper

classification cond-mat.dis-nn cond-mat.stat-mech

keywords spinenergyexcitationsglasseslatticelinknon-trivialoverlaps

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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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