Spectral and transport properties of one-dimensional nanoring superlattice

TL;DR

This paper investigates the spectral and transport properties of one-dimensional nanoring superlattices in a magnetic field, revealing discrete energy levels that influence electron localization and system behavior.

Contribution

It introduces a detailed analysis of spectral features in nanoring superlattices, highlighting the presence of bound states and their dependence on system parameters, which was not extensively studied before.

Findings

Discrete energy levels can appear in gaps or bands.

Bound states are localized on individual or neighboring rings.

Energy spectrum varies with system parameters.

Abstract

Spectral properties of periodic one-dimensional array of nanorings in a magnetic field are investigated. Two types of the superlattice are considered. In the first one, rings are connected by short one-dimensional wires while in the second one rings have immediate contacts between each other. The dependence of the electron energy on the quasimomentum is obtained from the Schrodinger equation for the Bloch wave function. We have found an interesting feature of the system, namely, presence of discrete energy levels in the spectrum. The levels can be located in the gaps or in the bands depending on parameters of the system. The levels correspond to bound states and electrons occupying these levels are located on individual rings or couples of neighbouring rings and does not contribute to the charge transport. The wave function for the bound states corresponding to the discrete levels is obtained. Modification of electron energy spectrum with variation of system parameters is discussed.