Statistics of Electrical Resistance in One-Dimensional Disordered System
1986 年 55 巻 10 号 p. 3516-3526
詳細
1986 年 55 巻 10 号 p. 3516-3526
The motion of electrons in the one-dimensional disordered system including N δ=function potentials of random locations and strengths is studied by using the random transfer matrix method. The statistical properties of the electrical resistance ρN are discussed in the limit N→∞. By studing the cumulant expansion of fN=ln (1+ρN) in the cases when only the locations of potentials are random and the uniform strength is extremely small or large, it is found that the probability distribution of fN is not normal in the large strength limit in contrast to the argument by Anderson et al. and by Abrikosov. In the general case when both locations and strengths are random, the inverse localization length is numerically calculated under the assumption of the normal distribution of fN.
この記事は最新の被引用情報を取得できません。
