Simplicity of State and Overlap Structure in Finite-volume Realistic Spin Glasses Typeset Using Revt E X 2

@inproceedings{Newman1998SimplicityOS,
  title={Simplicity of State and Overlap Structure in Finite-volume Realistic Spin Glasses Typeset Using Revt E X 2},
  author={Charles M. Newman and Daniel L. Stein},
  year={1998}
}
We present a combination of heuristic and rigorous arguments indicating that both the pure state structure and the overlap structure of realistic spin glasses should be relatively simple: in a large nite volume with coupling-independent boundary conditions, such as periodic, at most a pair of ip-related (or the appropriate number of symmetry-related in the non-Ising case) states appear, and the Parisi overlap distribution correspondingly exhibits at most a pair of-functions at q EA. This rules… CONTINUE READING