Coupling between phonon and crystal-field excitations in multiferroic PrFe 3 ( BO 3 ) 4
Far-infrared reflection and ellipsometry measurements on multiferroic PrFe 3 ( BO 3 ) 4 and SmFe 3 ( BO 3 ) 4 single crystals were used to investigate the interaction between lattice phonons and electronic excitations associated with 4 f crystal-field transitions. A temperature-dependent interference between two types of excitations was observed in PrFe 3 ( BO 3 ) 4 in which the frequency of 4 f crystal-field electronic excitation of Pr 3 + falls into the TO-LO frequency interval of the optical phonon mode near 50 cm - 1 (1.5 THz). Experimental data were explained on the basis of a theoretical model of coupled electron-phonon modes. The fitting procedure revealed the value 14.8 cm - 1 for the electron-phonon coupling constant. This rather large value points to an essential role played by the electron-phonon interaction in the physics of multiferroics.