Realistic spin glasses below eight dimensions: a highly disordered view
  By connecting realistic spin glass models at low temperature to the highly disordered model at zero temperature, we argue that ordinary Edwards-Anderson spin glasses below eight dimensions have at most a single pair of physically relevant pure states at nonzero low temperature. Less likely scenarios that evade this conclusion are also discussed. 
C.M. Newman (Courant Institute of Mathematical Sciences, New York   University), D.L. Stein (Departments of Physics and Math...