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

Vadim M. Apalkov, Tapash Chakraborty

Published 2012-04-04Version 1

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.