ANDERSON LOCALIZATION IN A NONLINEAR-SIGMA-MODEL REPRESENTATION
ANDERSON LOCALIZATION IN A NONLINEAR-SIGMA-MODEL REPRESENTATION
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DOI：
10.1103/physrevb.24.2671
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发表时间：
1981-01-01
影响因子：
3.7
通讯作者：
HIKAMI, S
中科院分区：
文献类型：
--
作者：
HIKAMI, S
结果表明，移动边缘附近的安德森局域化行为是由 2+ ε 维度的非紧非线性 σ 模型描述的。扰动中的显式计算与非线性σ模型的有效哈密顿量一一对应。讨论了重正化群β函数和各向异性效应。
It is shown that the behavior of Anderson localization near the mobility edge is described by a noncompact nonlinear σ model in 2+ ε dimensions. The explicit calculation in perturbation gives one-to-one correspondence with the effective Hamiltonian of the nonlinear σ model. The renormalization-group β function and the anisotropic effect are discussed.