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On the abrupt change in the superconducting order parameter in the vicinity of the s±-> s++ transition in the Born limit
Russian version
Shestakov V.A.1, Korshunov M. M. 1
1Kirensky Institute of Physics, Federal Research Center KSC SB, Russian Academy of Sciences, Krasnoyarsk, Russia
Email: v_shestakov@iph.krasn.ru, mkor@iph.krasn.ru
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In multiband systems like iron pnictides and chalcogenides, the unconventional superconducting state can emerge. Effect of disorder on this state may have unexpected consequences, such as, for instance, change of the s± superconducting order parameter structure to the s++ one. Studying of a system behavior near such a transition is very important. For this purpose, the grand thermodynamic potential for the normal, ΩN, and superconducting, ΩS, states is calculated, as well as their difference ΔΩ=ΩS-ΩN. An expression for ΔΩ is derived for a two-band model of iron-based superconductors with the nonmagnetic impurities. The presence of disorder is considered within the T-matrix approximation for a multiband Eliashberg theory. Near the Born limit in the vicinity of s±-> s++ transition, two sets of solutions, which are obtained for opposite directions in changing of the impurity scattering rate, are found to exist. Based on ΔΩ, a phase diagram showing energetically favorable solutions for s± and s++ states as well as the transition between them is plotted. At low temperatures within the region where two sets of solutions coexist, the transition is abrupt and barely dependent on temperature. At higher temperatures, the Eliashberg equations have a single set of solutions, with the transition between s± and s++ states being smooth. Keywords: unconventional superconductivity, iron pnictides, iron chalcogenides, grand thermodynamic potential, impurity scattering, Eliashberg equations.
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