From Power-Localized to Extended States in a Class of One-Dimensional Disordered Systems

摘要: We study a one-dimensional random Kronig-Penney model in the presence of constant electric field. rigorously prove for first time existence transition between regime extended states large field and power-localized small There large-distance behavior is ${|x|}^{\ensuremath{-}\ensuremath{\alpha}(F)}$ with $\ensuremath{\alpha}(F)\ensuremath{\sim}\frac{C}{F}$ $F$, confirming numerical computation Soukoulis et al.