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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-09-07
摘要
The 碎形 dimension of excitations in glassy systems gives 資訊 on the critical dimension at which the droplet picture of spin glasses changes to a description based on replica symmetry breaking where the interfaces are space filling. Here, the 碎形 dimension of domain-wall interfaces is studied using the strong-disorder 重整化 group method pioneered by Monthus [碎形s 23, 1550042 (2015)] both for the Edwards-Anderson spin-glass model in up to 8 space dimensions, as well as for the one-dimensional long-ranged Ising spin-glass with power-law interactions. Analyzing the 碎形 dimension of domain walls, we find that replica symmetry is broken in high-enough space dimensions. Because our results for high-dimensional hypercubic lattices are limited by their small size, we have also studied the behavior of the
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