Abstract
I solved the Eliashberg equations for a multiband non-phononic s± wave spin-glass superconductor, calculating the temperature dependence of the gaps and of superfluid density. Their behaviors were revealed to be unusual: showing non-monotonic temperature dependence and reentrant superconductivity. By considering particular input parameters values that could describe the iron pnictide EuFe2(As1−xPx)2, a rich and complex phase diagram arises, with two different ranges of temperature in which superconductivity appears.
Highlights
The discovery of the new iron-based superconductor family based on EuFe2 As2 [1,2,3,4,5,6,7,8] allowed to investigate more deeply the interplay of magnetism and superconductivity
Due to the fact that not all magnetic moments can be simultaneously satisfied in their spin orientation with respect to the others, it happens that frustration in the magnetic ordering arises
The magnetic susceptibility in the spin-glasses shows a cusp at TSG, while nothing happens to specific heat other than a broad maximum around TSG and no Bragg peaks, which usually are a signal of long-range magnetic order, is found in neutron scattering experiments
Summary
The discovery of the new iron-based superconductor family based on EuFe2 As2 [1,2,3,4,5,6,7,8] allowed to investigate more deeply the interplay of magnetism and superconductivity. The case of the family of iron-based superconductors EuFe2 As2 [1,2,3,4,5,6,7,8] is interesting because the ferromagnetic and superconducting transition temperatures are close, where the first is connected to the ordering of Eu2+ local magnetic moments. Due to the fact that not all magnetic moments can be simultaneously satisfied in their spin orientation with respect to the others, it happens that frustration in the magnetic ordering arises This fact produces an infinite number of random configurations that are degenerate in energy but separated by large energy barriers. The frozen nature of the spin-glass state is reflected in this order parameter, but no spatial correlations are present as instead happens for other magnetic order parameters Is it possible to reproduce this phenomenology connected with the superconducting state, coexisting with a spin-glass system, inside a theory? Nass [13,14,15] and J.P Carbotte [16,17,18,19] that describe a single-band spin-glass s-wave phononic superconductor always in the framework of Eliashberg theory
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