Composite fermion states around the two-dimensional hole Landau level filling factor 32 in tilted magnetic fields

Abstract

Transport measurements under tilted magnetic fields were performed on a series of C-doped (001) GaAs/AlGaAs two-dimensional hole quantum wells. Due to a large $g$ factor, Zeeman energy is large and comparable to the cyclotron energy in these samples. On the other hand, it was found that the in-plane component ${g}_{\ensuremath{\parallel}}$ is small, and the effect of a tilted magnetic field is mainly to increase the effective mass of the holes. We investigate the spin transition of composite fermion states around Landau level (LL) filling factor 3/2. We found that the $\ensuremath{\nu}\phantom{\rule{0.16em}{0ex}}=\phantom{\rule{0.16em}{0ex}}4/3$ state encounters a partial- to full-spin-polarization transition, conforming to the same pattern as that of electron samples. In addition, a high-resistance phase emerges at $\ensuremath{\nu}\phantom{\rule{0.16em}{0ex}}=\phantom{\rule{0.16em}{0ex}}3/2$ under very high tilt angles. We interpret both of these phenomena as a consequence of LL crossing under a purely perpendicular magnetic field.