2019/02/19 by M. A. Moore, Moore, M. A.
Materials Science · Physics and Astronomy · #Complex Network Analysis Techniques #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Material Dynamics and Properties #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1902.07099
openalex publication_date 2019/02/19 · openalex created_date 2019/03/02 · openalex updated_date 2026/07/28
The leading term for the average height of the barriers which could separate pure states in Ising spin glasses is calculated using instanton methods. It is finite in dimensions d < 6. Replica symmetry breaking requires that the barriers between pure states are infinite in the thermodynamic limit, as finite barriers allow thermal mixing of pure states. As a consequence, a replica symmetry broken phase cannot survive when d < 6. However, for d > 6 no similar instanton solution exists.