Interference effects in one-dimensional moir\'e crystals

TL;DR

This paper investigates interference effects in finite one-dimensional moiré crystals using a Landauer-Büttiker formalism, revealing how wave function interference influences quantum conductance and localized states, with implications for quantum device design.

Contribution

It provides a predictive model for interlayer transport in moiré structures and explains interference effects at the mesoscale within a tight-binding framework.

Findings

Wave function interference causes periodic conductance modulation.

Localized states emerge in the strong coupling regime.

Interlayer transport is suppressed in the localized-insulating regime.

Abstract

Interference effects in finite sections of one-dimensional moir\'e crystals are investigated using a Landauer-B\"uttiker formalism within the tight-binding approximation. We explain interlayer transport in double-wall carbon nanotubes and design a predictive model. Wave function interference is visible at the mesoscale: in the strong coupling regime, as a periodic modulation of quantum conductance and emergent localized states; in the localized-insulating regime, as a suppression of interlayer transport, and oscillations of the density of states. These results could be exploited to design quantum electronic devices.