Electronic structure in a two-dimensional triangle-like periodic magnetic field

Electronic structures of 2DEG in a spatially periodic magnetic field modulation are investigated. For the consideration of reality, we employ the first two terms of Fourier series with an adjustable parameter to simulate the magnetic field profiles. The systemic Hamiltonian is expanded by the eigenstates of two-dimensional pure harmonic oscillator and then the systemic eigenvalues can be calculated. The results show the energy spectra are strongly dependent on the parameters of magnetic field, such as the magnetic field amplitude Bm, the period k and the phase φ. For a varying Bm, the Landau bands are disappeared and the levels group in pairs. On the other hand, with increasing k, the energy level splitting is dependent on the phase φ, which determines whether the zero point of magnetic field locates at the coordinate origin. A significant convergence in spectra structure is also observed for either low field amplitude or strong field amplitude.