‘One Sided’ Log-normal Distribution of Conductances of a Disordered Quantum Wire
نویسنده
چکیده
We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically for the first time the full distribution of conductance P (g) for a quasi one dimensional wire in the absence of electron-electron interaction. We show that in the crossover region between the metallic and insulating regimes, P (g) is highly asymmetric, given by an essentially ‘one sided’ log-normal distribution. For larger disorder, the tail of the log-normal distribution for g > 1 is cut off by a Gaussian. PACS numbers: 71.25.-s, 72.15.Rn, 05.45+b Typeset using REVTEX
منابع مشابه
“One-Sided” Log-Normal Distribution of Conductances for a Disordered Quantum Wire
We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically the full distribution of the conductance P g for a quasi-one-dimensional wire in the absence of electronelectron interactions. We show that in the crossover region between the metallic and insulating regimes P g is highly asymmetric, given by an essentially “one-sided” log-normal distribution. For...
متن کاملConductance distribution in 3 D Anderson insulators : de - viation from log - normal form
– Metal-insulator transitions and other electronic transitions. PACS. 72.10.-d – Theory of electronic transport; scattering mechanisms. Abstract. – We show how a recent proposal to obtain the distribution of conductances in three dimensions (3D) from a generalized Fokker-Planck equation for the joint probability distribution of the transmission eigenvalues can be implemented for all strengths o...
متن کاملConductance distribution of disordered quasi one-dimensional wires
We determine analytically the distribution of conductances of quasi onedimensional disordered electron systems, neglecting electron-electron interaction, for all strengths of disorder. We find that in the crossover region between the metallic and insulating regimes, P (g) is highly asymmetric, given by “one-sided” log-normal distribution. For larger disorder, the tail of the log-normal distribu...
متن کاملControlling conductance statistics of quantum wires by driving ac fields
We calculate the entire distribution of the conductance P (G) of a one-dimensional disordered system –quantum wire– subject to a time-dependent field. Our calculations are based on Floquet theory and a scaling approach to localization. Effects of the applied ac field on the conductance statistics can be strong and in some cases dramatic, as in the high-frequency regime where the conductance dis...
متن کاملComparison between Frequentist Test and Bayesian Test to Variance Normal in the Presence of Nuisance Parameter: One-sided and Two-sided Hypothesis
This article is concerned with the comparison P-value and Bayesian measure for the variance of Normal distribution with mean as nuisance paramete. Firstly, the P-value of null hypothesis is compared with the posterior probability when we used a fixed prior distribution and the sample size increases. In second stage the P-value is compared with the lower bound of posterior probability when the ...
متن کامل