Specific features of the magnetic and electric properties and the magnetically inhomogeneous state of Nd$_{0.5}$Sr$_{0.5}$MnO$_3$ single crystal

The hysteretic behavioral features of magnetization and resistance upon remagnetization in quasistatic (up to 9 T) and pulse (up to 14 T) magnetic fields have been investigated. The relaxation processes of magnetization and resistance after the effect of a 9 T magnetic field have also been studied. A mechanism of the remagnetization of antiferromagnetic insulating-ferromagnetic metallic (AFM/I-FM/M) phases and the existence of high-conductivity state of the sample after removal of the magnetizing field is proposed for low temperatures. This mechanism is due to slow relaxation of the nonequilibrium lattice corresponding to the FM phase (of larger volume) toward the equilibrium AFM lattice (of lesser volume).