Crossover between localization and delocalization in a random non-integer n-mer chain

N. Zekri; H. Bahlouli

doi:10.1142/S0217984998000871

Crossover between localization and delocalization in a random non-integer n-mer chain

N. Zekri^*
, H. Bahlouli

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We study in this paper numerically the nature of the electronic states in a random system with impurities constituted by dimers and monomers having the same potential strength. The combination of these two impurity lengths in this system can be seen as a random impurity with a non-integer average size varying between 1 and 2 depending on the concentration of the monomers in the impurities. We found with the help of the Lyapunov exponent, a range of host lattice potentials for which a crossover between localized and delocalized states exists. This crossover is obtained for different averaged non-integer n-mer sizes and tends to a phase transition when the averaged size goes to an integer value (only dimers). These results can also be extended to higher non-integer n-mer systems.

Original language	English
Pages (from-to)	743-751
Number of pages	9
Journal	Modern Physics Letters B
Volume	12
Issue number	18
DOIs	https://doi.org/10.1142/S0217984998000871
State	Published - 10 Aug 1998

Bibliographical note

Funding Information:
We would like to acknowledged the support of the physics department at King Fahd University of Petroleum and Minerals (KFUPM) and the International Centre of Theoretical Physics (ICTP) during the progress of this work. We also thank Prof. A. K. Sen for fruitful discussions.

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217984998000871

Cite this

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title = "Crossover between localization and delocalization in a random non-integer n-mer chain",

abstract = "We study in this paper numerically the nature of the electronic states in a random system with impurities constituted by dimers and monomers having the same potential strength. The combination of these two impurity lengths in this system can be seen as a random impurity with a non-integer average size varying between 1 and 2 depending on the concentration of the monomers in the impurities. We found with the help of the Lyapunov exponent, a range of host lattice potentials for which a crossover between localized and delocalized states exists. This crossover is obtained for different averaged non-integer n-mer sizes and tends to a phase transition when the averaged size goes to an integer value (only dimers). These results can also be extended to higher non-integer n-mer systems.",

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N2 - We study in this paper numerically the nature of the electronic states in a random system with impurities constituted by dimers and monomers having the same potential strength. The combination of these two impurity lengths in this system can be seen as a random impurity with a non-integer average size varying between 1 and 2 depending on the concentration of the monomers in the impurities. We found with the help of the Lyapunov exponent, a range of host lattice potentials for which a crossover between localized and delocalized states exists. This crossover is obtained for different averaged non-integer n-mer sizes and tends to a phase transition when the averaged size goes to an integer value (only dimers). These results can also be extended to higher non-integer n-mer systems.

AB - We study in this paper numerically the nature of the electronic states in a random system with impurities constituted by dimers and monomers having the same potential strength. The combination of these two impurity lengths in this system can be seen as a random impurity with a non-integer average size varying between 1 and 2 depending on the concentration of the monomers in the impurities. We found with the help of the Lyapunov exponent, a range of host lattice potentials for which a crossover between localized and delocalized states exists. This crossover is obtained for different averaged non-integer n-mer sizes and tends to a phase transition when the averaged size goes to an integer value (only dimers). These results can also be extended to higher non-integer n-mer systems.

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Crossover between localization and delocalization in a random non-integer n-mer chain

Abstract

Bibliographical note

ASJC Scopus subject areas

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