Magnetic quantum oscillations in nanowires

TL;DR

This paper derives analytical expressions for magnetization and conductivity in nanowires, revealing novel quantum oscillations due to size and magnetic field effects, with multiple characteristic frequencies differing from bulk metals.

Contribution

It introduces analytical formulas for quantum oscillations in nanowires, highlighting multiple frequencies and amplitude enhancements at specific magnetic fields, advancing understanding of nanoscale magnetic properties.

Findings

Three characteristic oscillation frequencies in nanowires, F=F_0,F_1, and F_2.

Amplitude of oscillations is enhanced at certain 'magic' magnetic fields.

Wire cross-section S can be determined from oscillation data.

Abstract

Analytical expressions for the magnetization and the longitudinal conductivity of nanowires are derived in a magnetic field, B. We show that the interplay between size and magnetic field energy-level quantizations manifests itself through novel magnetic quantum oscillations in metallic nanowires. There are three characteristic frequencies of de Haas-van Alphen (dHvA) and Shubnikov-de Haas (SdH) oscillations, F=F_0,F_1, and F_2 in contrast with a single frequency F'_0 in simple bulk metals. The amplitude of oscillations is strongly enhanced in some "magic" magnetic fields. The wire cross-section S can be measured along with the Fermi surface cross-section, S_F.