An apparatus and methods for a non-volatile magnetic random access memory (MRAM) device that includes a word line, a bit line, and a magnetic thin film memory element located at an intersection of the word and bit lines. The magnetic thin film memory element includes an alloy of a rare earth element and a transition metal element. The word line is operable to heat the magnetic thin film memory element when a heating current is applied. Heating of the magnetic thin film memory element to a predetermined temperature reduces its coercivity, which allows switching of the magnetic state upon application of a magnetic field. The magnetic state of the thin film element can be determined in accordance with principles of the Hall effect.