Simple model for a quantum wire III. Transmission of finite samples with correlated disorder

Abstract

The effect of a continuous model of correlations upon one-dimensional finite disordered quantum wires modeled by an array of delta-potentials, is analyzed. Although the model proposed is not able to include new truly extended states in the spectrum, the transport properties of a finite sample are noticeably improved due to the existence of states whose localization length is larger than the system size. This enhancement of transmission is maximized for relatively short chains.

arXiv comment6 pages, 18 figures

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Cited by in corpus (7)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Stochastic thermodynamics of chemical reaction networks
• Entropy production for mechanically or chemically driven biomolecules
• One-dimensional models of disordered quantum wires: general formalism
• Band spectra of periodic hybrid $\delta$-${\delta }^{\prime }$ structures
• Continuum of extended states in the spectrum of a one-dimensional random potential
• Quantum field theory at finite temperature for 3D periodic backgrounds