Chiral p-wave superconductors have complex coherence and magnetic field penetration lengths

Abstract

We show that in superconductors that break time reversal symmetry and have anisotropy, such as p+ip materials, all order parameters and magnetic modes are mixed. Excitation of the gap fields produces an excitation of the magnetic field and vice versa. Correspondingly the long-range decay of the magnetic field and order parameter are in general given by the same exponent. Thus one cannot characterize p+ip superconductors by the usual coherence and magnetic field penetration lengths. Instead the system has normal modes that are associated with linear combinations of magnetic fields, moduli of and phases of the order parameter components. Each such normal mode has its own decay length that plays the role of a hybridized coherence/magnetic field penetration length. On a large part of the parameter space these exponents are complex. Therefore the system in general has damped oscillatory decay of the magnetic field accompanied by damped oscillatory variation of the order parameter fields.

arXiv comment11 pages, 4 figures

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• Magnetic response of nematic superconductors: skyrmion stripes and their signatures in muon spin relaxation experiments
• Symmetries, Length Scales, Magnetic Response and Skyrmion Chains in Nematic Superconductors
• Magnetic field behaviour in $s+is$ and $s+id$ superconductors: twisting of applied and spontaneous fields
• Vortex lattices and critical fields in anisotropic superconductors
• First order superconducting phase transition in chiral $p+ip$ system
• The role of electromagnetic gauge-field fluctuations in the selection between chiral and nematic superconductivity
• Observation of vortex stripes in UTe${}_2$
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