In this article, the influence of variable thermal conductivity and Hall current is investigated for elastic semiconductor medium. The medium is linear and exposed to a very strong magnetic field when the thermal conductivity is taken as a linear function on temperature. The interaction between the external magnetic field and microelements (microstructure) of the elastic medium is studied. The microtemperature effect is generated in the context of the photothermal excitation processes. The overlapping between elasticmagnetic-plasma-thermal waves is discussed in one dimension (1D) for a semiconductor rod. The Laplace transform and specific map in 1D are used to solve the governing equations in microtemperature field. The exact solutions of the main physical quantities in this phenomenon are obtained analytically in the physical time domain. Some mechanical boundary conditions with thermal shock are applied at the free surface of the elastic medium in the context of recombination plasma process. The inversion of Laplace transform is used numerically to obtain the complete solutions of main physical quantities. Some comparisons are made under the influence of variable thermal conductivity in Hall current with microtemperature effect for the physical quantities that they displayed graphically and discussed theoretically