Study Of Coexistence Of Superconductivity And Magnetism In Gd1ba2cu3o7 And Uge2 Superconductors

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The coexistence of superconductivity and magnetism has recently re-emerged asrna central topic in condensed matter physics due to the interplay between magnetismrnand superconductivity. The recent discovery of the coexistence of superconductivity(rnSc) and antiferromagnetism(AFM) in high Tc superconductor(HTSc)rnGd1+ Ba2− Cu3O7− has been studied theoretically by considering a model Hamiltonianrnconsisting of pair interaction, intra and inter atomic Coulomb interactions,rnexchange interaction and scattering of Cooper pairs by magnetic moments of therngadolinium(Gd) ions. Using double time temperature dependent Green’s functionrnformalism and a suitable decoupling approximation, the coexistence of superconductivityrnand antiferromagnetism has been demonstrated to be a distinct possibilityrnin Gd1+ Ba2− Cu3O7− . The coexistence of superconductivity and ferromagnetism(rnFm) in a ferromagnet UGe2 has also been shown theoretically by consideringrna model Hamiltonian and employing the Green’s function formalism. Furthermore,rnthe variation of the Curie temperature(Tm) with pressure in UGe2 has been examinedrnand investigated. The phase diagrams of the coexistence of superconductivityrnand magnetism in the above mentioned superconductors have been drawn which arernin broad experimental agreementrnKeywords: Gd1+ Ba2− Cu3O7− , UGe2, coexistence of superconductivity andrnmagnetism, superconducting order parameter, magnetic order parameter, antiferromagnetism,rnferromagnetism, Ne’el temperature, Curie temperature, phase diagram.

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Study Of Coexistence Of Superconductivity And Magnetism In Gd1ba2cu3o7 And Uge2 Superconductors

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