THE STUDY OF COMPETITION BETWEEN MAGNETISM AND SUPERCONDUCTING IN ELECTRON DOPED LANTANYEM IRON ARSENIC OXIDE (LaFeASO1-XHX).

ABSTRACT The Competition of magnetism and Superconductivity were previously thought as incompatible until the discovery of some rare earth ternary compounds that show the coexistence of superconductivity and magnetism. In some of the recently discovered iron-based layered superconductivity and magnetism coexist.the coexistence of superconductivity and antiferromagnetic in electron doped Lantanyem arsenide oxide superconductor (LaAsFeO1−xHx) has been studied theoretically by developed Hamiltonian considering multi band nature. Employ Greens function with the model Hamiltonian mathematical a theoretical for Tc, The phase diagram superconductor of transition temperatures and antiferromagnetic transition temperatures versus the antiferromagnetic order parameter for the system indicates that the transition temperatures decrease as the anti-ferromagnetic orders parameter increase while the anti-ferromagnetic transition temperatures increase as the anti-ferromagnetic order parameter increases. Moreover, the coexistence of antiferromagnetic and superconductivity has been demonstrated by merging the phase diagrams of Tc as function and as function The merged phase diagram shows that the superconductor and anti-ferromagnetic states are coexisted in range between 2.3< < 4.2 in (LaAsFeO1−xHx) which agree with the experimental result.