The focus of this talk will be the 2-spin spherical Sherrington Kirkpatrick (SSK) spin glass model with an external field. More specifically, I will discuss the transition between this model and the one without an external field. The talk will provide a brief introduction to the SSK model, focusing on the distribution of spins and how that distribution changes in the presence of an external field. I will then discuss the transitional case in which the strength of the external field goes to zero as the dimension of the spin variable grows. I will present results for the overlap with the external field and the overlap with the ground state, focusing on what each quantity tells us about the distribution of spins. Finally, I will provide a brief overview of our methods, including a contour integral representation of the partition function as well as random matrix techniques. This talk is based on joint work with Jinho Baik, Pierre le Doussal, and Hao Wu.
Overlaps of a spherical spin glass model with an external field
Elizabeth W. Collins-Woodfin, University of MichiganAuthors: Jinho Baik, Elizabeth Collins-Woodfin, Pierre le Doussal, Hao Wu
2022 AWM Research Symposium
Women in Analysis Research Network - Special Session for Graduate Students and Postdoctoral Fellows