Asymmetric quantum transport in a double-stranded Kronig-Penney model

TL;DR

This paper introduces a double-stranded Kronig-Penney model to study asymmetric quantum transport, revealing energy-dependent flux asymmetries and directional energy bands in complex lattice structures.

Contribution

It presents a novel double-stranded Kronig-Penney model and explores asymmetric flux behavior and directional energy bands in layered quantum lattice systems.

Findings

Asymmetric fluxes depend on energy variation.

Existence of energy bands with unidirectional flux flow.

Analysis of zero-size limit using quantum graph vertices.

Abstract

We introduce a double-stranded Kronig-Penney model and analyze its transport properties. The asymmetric fluxes between two strands with suddenly alternating localization patterns are found as the energy is varied. The zero-size limit of the internal lines connecting two strands is examined using quantum graph vertices with four edges. We also consider a two-dimensional Kronig-Penney lattice with two types of alternating layers with $\delta$ and $\delta'$ connections, and show that the existence of energy bands in which the quantum flux can flow only in selected directions.