# Magneto-optical Conductance of Kane Fermion Gas in Low Frequencies

## TL;DR

This paper investigates the magneto-optical conductance of Kane fermion gas, revealing resonant peaks at low frequencies caused by gapless modes, which explain experimental absorbance spectra in Kane fermion materials.

## Contribution

It provides the first calculation of magneto-optical conductance for Kane fermion gas, highlighting the role of gapless modes in low-frequency optical responses.

## Key findings

- Resonant peaks in low-frequency conductance due to gapless modes
- Explanation of experimental absorbance spectra in Hg$_{1-x}$Cd$_x$Te
- Distinct transport properties from Dirac semimetals

## Abstract

Kane fermion is the counterpart of the Dirac fermion with pseudospin-1. Due to the existence of a bunch of gapless modes associated with Landau levels, the magnetic transport property of Kane fermion gas is very different from that of the Dirac semimetal. We calculate the magneto-optical conductance of the Kane fermion gas. We find that these gapless modes will contribute to a series of resonant peaks in low frequencies. We find that these peaks can explain the low frequency absorbance spectrum in a recent experiment for the Kane fermion material Hg$_{1-x}$Cd$_x$Te.