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

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.

5 pages, 3 figures

References in corpus (6)

• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• The Fractional Quantum Hall States of Dirac Electrons in Graphene
• Magnetic quantum oscillations of the topological insulator surface states
• Pseudo-Hermitian Quantum Dynamics of Tachyonic Spin-1/2 Particles
• Superluminal Tachyonlike Excitations of Dirac Fermions in a Topological Insulator Junction
• Interacting Dirac Fermions on a Topological Insulator in a Magnetic Field

Cited by in corpus (3)

• Edge states of a three-dimensional topological insulator
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• Transport in a thin topological insulator with potential and magnetic barriers