Electron transport on a cylindrical surface with one-dimensional leads

TL;DR

This paper analyzes electron transport on a cylindrical nanostructure with attached one-dimensional leads, revealing how magnetic fields influence transmission resonances, zeros, and electron spin polarization, with explicit formulas and novel resonance behaviors.

Contribution

It provides explicit formulas for transmission and reflection coefficients and studies the effects of magnetic fields and contact positions on electron transport in cylindrical nanostructures.

Findings

Transmission resonances are split by magnetic fields.

Reflection peaks occur at energies matching the cylinder's discrete spectrum.

Magnetic flux induces Fano-type resonances and spin polarization.

Abstract

A nanodevice consisting of a conductive cylinder in an axial magnetic field with one-dimensional wires attached to its lateral surface is considered. An explicit form for transmission and reflection coefficients of the system as a function of electron energy is found from the first principles. The form and the position of transmission resonances and zeros are studied. It is found that, in the case of one wire being attached to the cylinder, reflection peaks occur at energies coinciding with the discrete part of the electronic spectrum of the cylinder. These peaks are split in a magnetic field. In the case of two wires the asymmetric Fano-type resonances are detected in the transmission between the wires for integer and half-integer values of the magnetic flux. The collapse of the resonances appears for certain position of contacts. Magnetic field splits transmission peaks and leads to spin polarization of transmitted electrons.