标题： 安德森局域化：一种由无序引起的量子束缚态 显示英文标题

标题： Anderson localization: A disorder-induced quantum bound state

摘要： 费米能级的电子在某些无序介质中可能失去长距离传播的能力。 我们使用格林函数并在高空间维度中求解套式方程，以构建无序安德森模型中金属相和局域相及其之间转变的保守平均场理论。 我们发现静态扩散常数$D$在安德森局域化转变时不消失。 一个新的时间尺度的发散，与静态电极化率成正比，标志着扩散的消失。 我们引入扩散方程的一个扩展，以获得安德森局域化转变和局域相的一致微观图像。 安德森局域化是由空间局域量子束缚态的出现引起的。 显示英文摘要

摘要： Electrons at the Fermi energy may lose their ability to propagate to long distances in certain disordered media. We use Green functions and solve parquet equations in high spatial dimensions to construct a conserving mean-field theory of the metallic and localized phases with the transition between them in the disordered Anderson model. We find that the static diffusion constant $D$ does not vanish at the Anderson localization transition. The divergence of a new time scale, proportional to the static electrical polarizability, signals the vanishing of diffusion. We introduce an extension of the diffusion equation to reach a consistent microscopic picture of the Anderson localization transition and the localized phase. Anderson localization is caused by the emergence of a spatially localized quantum bound state.