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随机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非局域电子-空穴顶点的套式方程，以描述安德森局域化中的扩散消失。 这是由于扩散粒子和留下的空穴之间形成了量子束缚态。 与电极化率成正比的新时间尺度的发散标志着安德森局域化转变。 因此，在零频率处动力电导率的峰值高度，即静态扩散常数，在局域化转变时并未被推至零，而是其宽度。 在局域相中的空间局域量子束缚态无法用布洛赫波希尔伯特空间中的连续性和波动方程来描述。 显示英文摘要

摘要： Electrons at the Fermi energy may lose their ability to propagate to long distances in certain random media. We use Green functions and solve parquet equations for the non-local electron-hole vertex in high spatial dimensions to describe the vanishing of diffusion in Anderson localization. It is caused by forming a quantum bound state between the diffusing particle and the hole left behind. Divergence in a new time scale proportional to the electrical polarizability signals the Anderson localization transition. Consequently, the height of the peak of the dynamical conductivity at zero frequency, the static diffusion constant, is not pushed to zero at the localization transition but rather its width. Spatially localized quantum bound states in the localized phase cannot be described by the continuity and wave equations in the Hilbert space of Bloch waves.