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Typical length scales in conducting disorderless networks

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Abstract

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.

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References

  1. M. Martínez-Mares, A. Robledo, Phys. Rev. E 80, 045201(R) (2009)

    Article  ADS  Google Scholar 

  2. Y. Jiang, M. Martínez-Mares, E. Castaño, A. Robledo, Phys. Rev. E 85, 057202 (2012)

    Article  ADS  Google Scholar 

  3. V. Domínguez-Rocha, M. Martínez-Mares, J. Phys. A: Math. Theor. 46, 235101 (2013)

    Article  ADS  Google Scholar 

  4. H.G. Schuster, Deterministic Chaos. An Introduction (VCH Publishers, Weinheim, 1988)

  5. A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Physica D 16, 285 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  6. F. Baldovin, A. Robledo, Europhys. Lett. 60, 518 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  7. M. Büttiker, IBM J. Res. Dev. 32, 317 (1988)

    Article  Google Scholar 

  8. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)

    Article  ADS  Google Scholar 

  9. C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997)

    Article  ADS  Google Scholar 

  10. P.A. Mello, N. Kumar, in Quantum Transport in Mesoscopic Systems. Complexity and Statistical Fluctuations (Oxford University Press, New York, 2004), p. 289

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Authors and Affiliations

  1. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340, Ciudad de México, Mexico

    M. Martínez-Mares

  2. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, 62210, Cuernavaca Mor., Mexico

    V. Domínguez-Rocha

  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. Robledo

Authors
  1. M. Martínez-Mares
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  2. V. Domínguez-Rocha
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  3. A. Robledo
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Corresponding authors

Correspondence to M. Martínez-Mares, V. Domínguez-Rocha or A. Robledo.

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Martínez-Mares, M., Domínguez-Rocha, V. & Robledo, A. Typical length scales in conducting disorderless networks. Eur. Phys. J. Spec. Top. 226, 417–425 (2017). https://doi.org/10.1140/epjst/e2016-60129-x

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  • DOI: https://doi.org/10.1140/epjst/e2016-60129-x

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