Temperature-resonant cyclotron spectra in confined geometries

TL;DR

This paper investigates how confinement in finite geometries affects the cyclotron resonance spectra of a two-dimensional charged particle gas, revealing a temperature-dependent peak behavior absent in infinite systems.

Contribution

It demonstrates that confinement causes the cyclotron spectral peak to reach a maximum at an optimal temperature, contrasting with the linear growth in unbounded gases.

Findings

Cyclotron spectral density exhibits a maximum at an optimal temperature due to confinement.

The resonance effect correlates with the electric susceptibility via the fluctuation-dissipation theorem.

Finite geometries alter the temperature dependence of cyclotron resonance peaks.

Abstract

We consider a two-dimensional gas of colliding charged particles confined to finite size containers of various geometries and subjected to a uniform orthogonal magnetic field. The gas spectral densities are characterized by a broad peak at the cyclotron frequency. Unlike for infinitely extended gases, where the amplitude of the cyclotron peak grows linearly with temperature, here confinement causes such a peak to go through a maximum for an optimal temperature. In view of the fluctuation-dissipation theorem, the reported resonance effect has a direct counterpart in the electric susceptibility of the confined magnetized gas.