The Fractional Quantum Hall Effect of Tachyons in a Topological Insulator Junction

TL;DR

This paper investigates tachyonic excitations in topological insulator junctions under magnetic fields, revealing unique Landau level properties and a notable fractional quantum Hall effect at filling factor 1/3.

Contribution

It introduces a model for tachyonic Landau levels in topological insulator junctions, highlighting novel properties not observed in conventional electron systems.

Findings

Unique tachyonic Landau level properties

Presence of fractional quantum Hall effect at ν=1/3

Distinct behaviors compared to graphene and conventional systems

Abstract

We have studied the tachyonic excitations in the junction of two topological insulators in the presence of an external magnetic field. The Landau levels, evaluated from an effective two-dimensional model for tachyons, and from the junction states of two topological insulators, show some unique properties not seen in conventional electrons systems or in graphene. The $\nu=1/3$ fractional quantum Hall effect has also a strong presence in the tachyon system.