Universal distribution functions in two-dimensional localized systems |
| |
Authors: | Somoza A M Ortuño M Prior J |
| |
Institution: | Departamento de Física-CIOyN, Universidad de Murcia, Murcia 30.071, Spain. |
| |
Abstract: | We find the conductance distribution function of the two-dimensional Anderson model in the strongly localized limit. The fluctuations of lng grow with lateral size as L1/3 and follow a universal distribution that depends on the type of leads. For narrow leads, it is the Tracy-Widom distribution, which appears in the problem of the largest eigenvalue of random matrices from the Gaussian unitary ensemble and in many other problems like the longest increasing subsequence of a permutation, directed polymers, or polynuclear growth. We also show that for wide leads the conductance follows a related, but different, distribution. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|