Abstract:
This work focuses on the theoretical investigation of the coexistence of Superconductivity
and Antiferromagnetism in CeP t
2
In
7
and CeRhIn
superconductors . By
developing a model Hamiltonian for the systems and using double time temperature
dependent Green
0
5
s function formalism, we obtained expressions for superconducting
transition temperature (T
), superconducting order parameter(∆) and magnetic order
parameter(η).
By using some plausible values of the parameters, superconducting transition temperature
(T
c
c
) versus magnetic order parameter(η) and Neel temperature (T
)versus
magnetic order parameter(η) phase diagrams are plotted which show the coexistence
of superconductivity and antiferromagnetism in CeP t
2
In
7
and CeRhIn
. The results
we obtained are in agreement with experimental observations. Besides, by using the
Ginzburg-Landau (GL) phenomenological equation, we found the direct relationship
between the GL coherence length (ξ
GL
) and penetration depth (λ
) with temperature.
From the GL equations and the results obtained for the GL coherence length,
the expressions for the upper critical magnetic fields (H
c
2
GL
)are obtained for the superconductors
CeP t
2
In
7
and CeRhIn
. The results are plotted as a function of
temperature. The phase diagrams show the linear dependence of upper critical magnetic
fields (H
c
2
5
) with temperature. Our findings are in agreement with experimental
5
N observations.
