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Abstract
This work focuses on the study of mathematical aspects of upper critical magnetic field of superconducting HoMo6Se8. At zero external magnetic field, HoMo6Se8 was found to undergo a transition from the normal state to the superconducting state at 5.6 K and returned to a normal but magnetically ordered state between the temperature range of 0.3 K and 0.53 K. The main objective of this work is to show the temperature dependence of the upper critical magnetic field of superconducting HoMo6Se8 by using the Ginzburg-Landau (GL) phenomenological Equation. We found the direct relationship between the GL coherence length (ξGL) and penetration depth (λGL) with temperature. From the GL Equations and the results obtained for the GL coherence length, the expression for upper critical magnetic field (Hc2) is obtained for the superconducting HoMo6Se8. The result is plotted as a function of temperature. The graph shows the linear dependence of upper critical magnetic field (Hc2) with temperature (T) and our finding is in agreement with experimental observations.
Highlights
Superconductivity is a phenomenon that occurs at very low temperatures
We determined the expression for upper critical magnetic field for superconducting HoMo6Se8 using the GL Equation (45) and by taking experimental data and upper critical magnetic fields for parallel and perpendicular, we plot the upper critical fields at parallel and perpendicular to the symmetry axis as shown in Figure 3 [6] [7]
The effect of coherence length, penetration depth and anisotropy in mass tensor on upper critical field are considered in our model
Summary
Superconductivity is a phenomenon that occurs at very low temperatures. Every superconductor has a transition temperature (Tc) below which it superconducts and above which it is a normal metal [1]. The material has no electrical resistance and conducts electricity without losses. In the normal state, the material does have resistance and the flow of electric current accompanies with the development of heat and the dissipation of energy [1]. How to cite this paper: Desta, T., Singh, P. and Kahsay, G. (2015) Study of Upper Critical Magnetic Field of Superconducting HoMo6Se8. World Journal of Condensed Matter Physics, 5, 105-117.
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