GLOBAL RANDOM-FIELD SPIN-GLASS PHASE DIAGRAMS IN TWO AND THREE DIMENSIONS
GLOBAL RANDOM-FIELD SPIN-GLASS PHASE DIAGRAMS IN TWO AND THREE DIMENSIONS
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二维和三维全局随机场自旋玻璃相图
DOI：
10.1103/physrevb.57.426
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发表时间：
1997
影响因子：
3.7
通讯作者：
A. Berker
中科院分区：
文献类型：
--
作者：
G. Migliorini;A. Berker
通过空间维度 $d=2$ 和 3 中的重正化群理论研究了包含场随机性和 $\ifmmode\pm\else\textpm\fi{}J$ 键随机性的 Ising 模型。在 $d=3$ 中，具有场随机性但没有 $\ifmmode\pm\else\textpm\fi{}J$ 随机性，出现铁磁相和顺磁相，且不存在自旋玻璃相。同样在 $d=3,$ 中，在足够的 $\ifmmode\pm\else\textpm\fi{}J$ 随机性下，会出现自旋玻璃相，但对于任何非零随机场被顺磁相取代，也意味着它对于任何非零均匀场消失。当$d=2时，$随机场下不存在铁磁相，也不存在自旋玻璃相。评估了结合随机场和自旋玻璃问题的全局相图。严重违反了临界现象普遍性，之前在 $d=3,$ 中发现了相邻的随机键三临界性，在 $d=2.$ 中可以看到。
An Ising model including field randomness and $\ifmmode\pm\else\textpm\fi{}J$ bond randomness is studied by renormalization-group theory in spatial dimensions $d=2$ and 3. In $d=3,$ with field randomness but no $\ifmmode\pm\else\textpm\fi{}J$ randomness, ferromagnetic and paramagnetic phases occur with no intervening spin-glass phase. Also in $d=3,$ at sufficient $\ifmmode\pm\else\textpm\fi{}J$ randomness, a spin-glass phase occurs, but is replaced by the paramagnetic phase for any nonzero random field, also implying its disappearance for any nonzero uniform field. In $d=2,$ no ferromagnetic phase under random fields and no spin-glass phase occur. Global phase diagrams uniting the random-field and spin-glass problems are evaluated. The strong violation of critical phenomena universality, previously found adjoining random-bond tricriticality in $d=3,$ is seen here in $d=2.$