Combination of Optical Transitions of Polarons with Rashba Effect in MAPbX3 (X = I, Br, and Cl) Under High Magnetic Fields.

We investigate photoluminescence (PL) transitions of MAPbX3 (X = I, Br and Cl) organic-inorganic hybrid perovskite single crystals under magnetic fields of up to 60 T. In these materials, sharp free-exciton transition peaks emerge at a low temperature (4.2 K). Under strong magnetic fields, the free-exciton PL transitions of three different halogens show dramatic differences. The free-exciton transitions of the MAPbCl3 crystal undergo negative energy shifts, while those of the MAPbBr3 crystal show normal diamagnetic shifts. For MAPbI3, the transition-energy shifts for both s+ and s- transitions at 4.2 K exhibit a power-law dependence on the magnetic field. Such inconsistent magnetic-field effects on different halogens make it difficult to understand the transition-energy behavior through a unified model. We propose a possible mechanism for the field effects that is based on a combination of the Rashba effect induced by strong spin-orbit coupling and the polaron effect caused by the polar nature of the inorganic elements.