The fractional quantum Hall effect of tachyons in a topological insulator junction
1 Department of Physics and Astronomy, Georgia State University - Atlanta, GA 30303, USA
2 Department of Physics and Astronomy, University of Manitoba - Winnipeg, Canada R3T 2N2
Received: 25 September 2012
Accepted: 3 December 2012
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 fractional quantum Hall effect has also a strong presence in the tachyon system. Experimental confirmation of these unusual magnetic properties will confirm the presence of tachyons in the system.
PACS: 73.20.-r – Electron states at surfaces and interfaces / 73.43.-f – Quantum Hall effects / 03.30.+p – Special relativity
© EPLA, 2012