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Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction

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Malyshev, Andrey and Domínguez-Adame Acosta, Francisco (2004) Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction. Physical Review B, 70 (17). ISSN 1098-0121

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Official URL: http://dx.doi.org/10.1103/PhysRevB.70.172202




Abstract

We consider a two-parameter one-dimensional Hamiltonian with uncorrelated diagonal disorder and nonrandom long-range intersite interaction J(mn)=J/\m-n\(mu). The model is critical at 1<mu<3/2 and reveals the localization-delocalization transition with respect to the disorder magnitude. To detect the transition we analyze level and wave function statistics. It is demonstrated also that in the marginal case (mu=3/2) all states are localized.


Item Type:Article
Additional Information:

© 2004 The American Physical Society.
The authors thank A. Rodríguez, M. A. Martín-Delgado, and G. Sierra for discussions. This work was supported by DGI-MCyT (MAT2003-01533) and MECyD (SB2001 -0146)

Uncontrolled Keywords:Inverse Participation Ratio, Metal-Insulator-Transition, Disordered-Systems, Anderson Transition, Probability-Distributions, Quantum Diffusion, Scaling Theory, Wave-Functions, Fluctuations, Absence
Subjects:Sciences > Physics > Materials
ID Code:27477
Deposited On:28 Nov 2014 09:09
Last Modified:05 Jul 2018 14:40

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