Abstract

Superconductivity and magnetism have been interesting topics in condensed mater physics and they have been studied experimentally and theoretically for many years. These two cooperative phenomena are antagonistic 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 superconductors, superconductivity and magnetism coexist. In the present work we examine the possibility of coexistence of antiferromagnetism and superconductivity in samarium arsenide oxide superconductor (SmAsO1-xFxFe). Using a model of the Hamiltonian and retarded double time Greens function formalism, we found expressions AFM order Parameter (η) and AFM transition temperature (Tm). We obtained the phase diagrams (Tc vs η) and(Tm vs η) to obtain the region where orders, i.e., superconductivity and AFM (antiferromagnetism), coexisted. The region under the intersection of the two merged graphs shows that superconductivity and AFM coexist in the system (SmAsO1-xFxFe).

Highlights

  • Superconductivity is the ability of certain materials to conduct electric current with practically zero resistance

  • In this paper we studied theoretical coexist of superconductivity and antiferromagnetism in SmAsO1-xFxFe

  • In order to study the coexistence of antiferromagnetism and superconductivity in superconducting SmAsO1xFxFe theoretically in general and to find the expressions for transition temperature and order parameters in particular, systems of conduction and localized electrons have been considered

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Summary

Introduction

Superconductivity is the ability of certain materials to conduct electric current with practically zero resistance. The coexistence of superconductivity and magnetism has been an interesting topic in condensed mater physics and it has been studied experimentally and theoretically for many years. According to BCS (Bardeen, Cooper, Schreiffer) theory, a superconductor expels a magnetic field, which in turn destroys superconductivity. In this paper we studied theoretical coexist of superconductivity and antiferromagnetism in SmAsO1-xFxFe. The newly discovered iron-pnictid superconductor is unconventional superconductivity such as that in copper oxides. Experimental study on the newly discovered iron pnictide superconductor found that magnetism and superconductivity coexisted in the long rang doping in SmAsO1-xFxFe (0.1 ≤ x ≤ 0.15) [12] [13]

Model System Hamiltonian
Equation of Motion for Localized Electrons
Correlation between Conduction and Mobile Electrons
Results and Discussions
Conclusions
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