Fractional quantum Hall effect of topological surface states under a strong tilted magnetic field

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.