扩散区以外的二维电子系统
Two-dimensional electron systems beyond the diffusive regime
摘要：
无序电子系统的输运性质可以用电导、李雅普诺夫指数或能级间距来表征。最近引入了两个额外的参数，$K_{11}$和$γ$，它们测量样品内部电子空间分布的非均匀性。% [Phys. Rev. Lett. { \bf 82}，4272（1999）]。对于正交的，酉的和辛的二维无序模型，我们数值研究了这些参数的扩散和本地化制度的系统尺寸依赖性。得到的$K_{11}$和$γ$的尺寸和无序依赖性与单参数输运理论一致。在定域区域，$γ\to 0$与模型的物理对称性无关。在扩散区，$γ$等于对称参数$β$。对于辛模型，我们分析了$γ$在金属-绝缘体相变临界区的尺寸依赖性，发现了非普适的临界值$γ_c$。
英文摘要：
Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, $K_{11}$ and $γ$ were introduced recently which measure the non-homogeneity of the spatial distribution of the electron inside the sample. % [Phys. Rev. Lett. {\bf 82}, 4272 (1999)]. For the orthogonal, unitary and symplectic two dimensional disordered models, we investigate numerically the system size dependence of these parameters in the diffusive and localized regime. Obtained size and disorder dependence of $K_{11}$ and $γ$ is in agreement with with single parameter transport theory. In the localized regime, $γ\to 0$ independently on the physical symmetry of the model. In the diffusive regime, $γ$ equals to the symmetry parameter $β$. For the symplectic model we analyze the size dependence of $γ$ in the critical region of the metal-insulator transition and found the non-universal critical value $γ_c$.
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