https://doi.org/10.1140/epjst/e2016-60129-x
Regular Article
Typical length scales in conducting disorderless networks
1 Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 Ciudad de México, Mexico
2 Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, 62210 Cuernavaca Mor., Mexico
3 Instituto de Física y Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Ciudad de México, Mexico
a e-mail: moi@xanum.uam.mx
b e-mail: vidomr@gmail.com
c e-mail: robledo@fisica.unam.mx
Received: 20 April 2016
Revised: 24 November 2016
Published online: 6 March 2017
We take advantage of a recently established equivalence, between the intermittent dynamics of a deterministic nonlinear map and the scattering matrix properties of a disorderless double Cayley tree lattice of connectivity K, to obtain general electronic transport expressions and expand our knowledge of the scattering properties at the mobility edge. From this we provide a physical interpretation of the generalized localization length.
© EDP Sciences, Springer-Verlag, 2017
