Critical Behavior of a Semi-infinite System:n-Vector Model in the Large-nLimit
Critical Behavior of a Semi-infinite System:n-Vector Model in the Large-nLimit
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半无限系统的临界行为：大n极限下的n向量模型
DOI：
10.1103/physrevlett.38.735
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发表时间：
1977
影响因子：
8.6
通讯作者：
M. .. Moore
中科院分区：
文献类型：
--
作者：
A. Bray;M. .. Moore
在极限n→∞下，精确求解了半无限系统的n分量Ginzburg-Landau-Wilson模型T= Tc.在标度范围内，自旋-自旋相关函数为G（ρ→，z，z′，Tc）= const {[ρ 2+（z− z′）2]− 1−[ρ 2+（z+ z′）2]− 1}（d− 2）2，其中z，z′是两个自旋到表面的距离，p→是它们平行于表面的间距。临界指数η和η分别为（d− 2）2和（d− 2）。
The n-component Ginzburg-Landau-Wilson model for a semi-infinite system is solved exactly at T= T c in the limit n→∞. In the scaling regime the spin-spin correlation function is G (ρ→, z, z′, T c)= const {[ρ 2+(z− z′) 2]− 1−[ρ 2+(z+ z′) 2]− 1}(d− 2) 2, for dimensionalities d in the range 2< d< 4, where z, z′ are the distances of the two spins from the surface and p→ is their separation parallel to the surface. The critical exponents η⊥ and η∥ are (d− 2) 2 and (d− 2), respectively.