Special Condensed Matter Seminar

Daniel Stein
New York University

Tuesday, April 10, 2007
Note different date
1:00 pm in SPL 52

Short-Range Spin Glasses

Abstract: I will review old and discuss new results about short-ranged spin glasses at low and zero temperature. I will focus on what is presently known rigorously, and what we believe might be provable in the near future. Our focus is on low-temperature equilibrium properties of short-ranged spin glasses, including: numbers of pure and ground states in various dimensions; the question of whether a phase transition and broken spin-flip symmetry occur in finite dimension; the use of metastates to analyze the organization of the broken-symmetric structure of the low-temperature phase; and perhaps an analysis of the effect of nonzero external field on overlap structure.