Scaling analysis of domain-wall free energy in the Edwards-Anderson Ising spin glass in a magnetic field.
Scaling analysis of domain-wall free energy in the Edwards-Anderson Ising spin glass in a magnetic field.
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DOI：
10.1103/physrevlett.99.137202
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发表时间：
2007-02
影响因子：
8.6
通讯作者：
M. Sasaki;Koji Hukushima;Hajime Yoshino;Hajime Takayama
中科院分区：
文献类型：
--
作者：
M. Sasaki;Koji Hukushima;Hajime Yoshino;Hajime Takayama
研究了三维和四维Edwards-AndersonIsing自旋玻璃中自旋玻璃相在磁场作用下的稳定性。用数值畴壁重整化群方法测量了与长度尺度L相关的有效耦合J（eff）和有效场H（eff）。通过标度分析得到的数据的结果强烈地表明存在一个交叉长度，超过该交叉长度，自旋玻璃序被场H破坏。交叉长度很好地服从H的幂律，当H -> 0时发散，但对于任何非零H仍然是有限的，这意味着即使在无限小的场中也不存在自旋玻璃相。这些结果与短程自旋玻璃的液滴理论是一致的。
The stability of the spin-glass phase against a magnetic field is studied in the three- and four-dimensional Edwards-Anderson Ising spin glasses. Effective couplings J(eff) and effective fields H(eff) associated with length scale L are measured by a numerical domain-wall renormalization-group method. The results obtained by scaling analysis of the data strongly indicate the existence of a crossover length beyond which the spin-glass order is destroyed by field H. The crossover length well obeys a power law of H which diverges as H --> 0 but remains finite for any nonzero H, implying that the spin-glass phase is absent even in an infinitesimal field. These results are well consistent with the droplet theory for short-range spin glasses.