Transport properties of one-dimensional Kronig-Penney models with correlated disorder

TL;DR

This paper investigates how correlated disorder affects electron transport in one-dimensional Kronig-Penney models, revealing geometric phase-space insights and analyzing N-mer configurations.

Contribution

It introduces a Hamiltonian map approach to analyze transport in correlated disordered Kronig-Penney models, providing a geometric interpretation of conductance.

Findings

Extended states correspond to bound trajectories in phase space.

Conductance can be expressed as evolution areas in phase space.

Analysis includes general N-mer models.

Abstract

Transport properties of one-dimensional Kronig-Penney models with binary correlated disorder are analyzed using an approach based on classical Hamiltonian maps. In this method, extended states correspond to bound trajectories in the phase space of a parametrically excited linear oscillator, while the on site-potential of the original model is transformed to an external force. We show that in this representation the two probe conductance takes a simple geometrical form in terms of evolution areas in phase-space. We also analyze the case of a general N-mer model.