科研之友
微信
新浪微博
Facebook
分享链接
摘要
Recent works on hard spheres in the limit of infinite dimensions revealed that glass states, envisioned as metabasins in configuration space, can break up in a multitude of separate basins at low enough temperature or high enough pressure, leading to the emergence of new kinds of soft-modes and unusual properties. In this paper we study by perturbative renormalization group techniques the critical properties of this transition, which has been discovered in disordered mean-field models in the 1980s. We find that the upper-critical dimension d(u), above whichmean-field results hold, is strictly larger than six and apparently nonuniversal, i.e., system dependent. Below d(u), we do not find any perturbative attractive fixed point (except for a tiny region of the one-step replica symmetry breaking parameter), thus showing that the transition in three dimensions either is governed by a nonperturbative fixed point unrelated to the Gaussian mean-field one or becomes first order or does not exist. We also discuss possible relationships with the behavior of spin glasses in a field.
- 出版日期2015-3-25
- 单位中国地震局
