Abstract
This work focuses on the theoretical investigation of the coexistence of superconductivity and ferromagnetism in the superconducting HoMo6S8. By developing a model Hamiltonian for the system and using the Green’s function formalism and equation of motion method, we have obtained expressions for superconducting transition temperature (Tc), magnetic order temperature (Tm), superconductivity order parameter (D) and magnetic order parameter (η). By employing the experimental and theoretical values of the parameters in the obtained expressions, phase diagrams of energy gap parameter versus transition temperature, superconducting transition temperature versus magnetic order parameter and magnetic order temperature versus magnetic order parameter are plotted separately. By combining the phase diagrams of superconducting transition temperature versus magnetic order parameter and magnetic order temperature versus magnetic order parameter, we have demonstrated the possible coexistence of superconductivity and ferromagnetism in superconducting HoMo6S8.
Highlights
Superconductivity was discovered in 1911 by Kamerlingh Onnes [1] when a so-called “Blue Boy” noticed that the resistivity of Hg metal vanished abruptly at a temperature of about 4.2 K
We have demonstrated the basic concepts of superconductivity with special emphasis on the BCS model and Cooper pair focusing on the interaction between superconductivity and ferromagnetism which are closely connected to the particular crystal of superconducting HoMo6S8
Employing the double time temperature dependent retarded Green’s functions formalism, we developed the model Hamiltonian for the system and derived equations of motion for conduction electrons, localized electrons and for pure superconducting system and carried out various correlations by using suitable decoupling procedures
Summary
Superconductivity was discovered in 1911 by Kamerlingh Onnes [1] when a so-called “Blue Boy” noticed that the resistivity of Hg metal vanished abruptly at a temperature of about 4.2 K. Superconductivity in Ferromagnetic must result from a different type of electronpairing mechanisms In these materials, electrons with spins pointing in the same direction team up with each other to form Cooper pairs with one unit of spin resulting in a triplet superconductivity. The relationship between magnetism and superconductivity has received renewed attention since the discovery of ternary superconducting materials which achieved long-range magnetic ordering at low temperatures. Ferromagnetic alignment can be expected to be strongly opposed by superconductivity Such a long-period magnetic ordering was found in HoMo6S8 and in ErRh4B4. HoMo6S8 becomes superconducting at Tc1 ≌ 1.82 K, but at a lower temperature Tc2 ≌ 0.64 K, it re-enters the normal state at the onset of long range ferromagnetic order. In a narrow temperature range Tc2 < T < Tm, superconductivity coexists with a modulated magnetic structure [12]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
