Fractional quantum Hall effect of topological surface states under a strong tilted magnetic field
1 LCP, Institute of Applied Physics and Computational Mathematic - P. O. Box 8009, Beijing 100088, China
2 Beijing Computational Science Research Center - Beijing 100084, China
Received: 19 February 2013
Accepted: 18 July 2013
The fractional quantum Hall effect (FQHE) of topological insulator surface state particles under a tilted strong magnetic field is theoretically studied by using the exact diagonalization method. Haldane's pseudopotentials for the Coulomb interaction are analytically obtained. The results show that by increasing the in-plane component of the tilted magnetic field, the FQHE state at n = 0 Landau level (LL) becomes more stable, while the stabilities of n = ± 1 LLs become weaker. Moreover, we find that the excitation gaps of the ν = 1/3, 1/5 and 1/7 FQHE states increase with increasing the tilt angle.
PACS: 73.43.Lp – Collective excitations / 73.20.At – Surface states, band structure, electron density of states / 73.25.+i – Surface conductivity and carrier phenomena
© EPLA, 2013