The statistics of one-dimensional resistances
- 30 August 1984
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 17 (24), 4327-4344
- https://doi.org/10.1088/0022-3719/17/24/014
Abstract
An exact expression for the moments of the resistance of a 1D chain of atoms (RN) is obtained for positive integer N. The authors show how to analytically continue this result to all N and use this to calculate (ln R) and the density of states. They compare results for the localisation length with direct simulation work using a program generated by MacKinnon and derive some analytic results from their formulae.Keywords
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