Author(s)

Tadesse Desta¹, Pooran Singh¹, Gebregziabher Kahsay²

¹Department of Physics, College of Natural Science, Addis Ababa University, Addis Ababa, Ethiopia.
²Department of Physics, College of Science, Bahir Dar University, Bahir Dar, Ethiopia.

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 (ξ_GL) and penetration depth (λ_GL) with temperature. From the GL Equations and the results obtained for the GL coherence length, the expression for upper critical magnetic field (H_c2) 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 (H_c2) with temperature (T) and our finding is in agreement with experimental observations.

Ginzburg-Landau Equation, Upper Critical Magnetic Field, HoMo₆Se₈

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. doi: 10.4236/wjcmp.2015.53013.