In this paper, the effect of Hall current of elastic semiconductor medium is studied, when the medium is exposed to very strong magnetic field. The overlapping between the magnetic field and microelements (microstructure) of the medium is investigated. The microtemperatures of the medium are generated during photothermal transport excitation. The interaction between elasticmagnetic- plasma-thermal waves is studied in one dimension when semiconductor rod is used. The Laplace integral transform is used to solve the governing equations in microtemperature field. The exact solutions of physical field quantities are obtained in physical time domain when they are applied a thermal shock and some mechanical boundary conditions at the free surface of the medium in context of recombination plasma process. The inversion of Laplace transform is used to get the complete solutions of main physical variables. Some comparisons are carried out under the effect of Hall current and microtemperature effect. The numerical results are displayed graphically and discussed theoretically.