Abstract
Iron-based materials often exhibit magnetism, superconductivity, and nematic order. A theoretical investigation looks at the interplay between magnetism and orbital order and how these properties affect superconductivity.
Highlights
The interplay between magnetism and orbital order and how the two affect superconductivity are the most interesting, yet most controversial, aspects of the physics of ironbased superconducting materials (FeSCs)
We find that the same magnetic fluctuations promote attraction in the C4-symmetrybreaking d-POM orbital channel, even if the bare interaction in the d-POM channel is repulsive
We find that within the energy range where the renormalization group (RG) approach is valid, the susceptibility towards a spontaneous orbital order increases in the process of RG flow and diverges with the largest exponent
Summary
The interplay between magnetism and orbital order and how the two affect superconductivity are the most interesting, yet most controversial, aspects of the physics of ironbased superconducting materials (FeSCs). In distinction to earlier works [18,22,32,33], we explicitly include into consideration the orbital composition of the low-energy electronic states This allows us to consider fluctuations in the orbital channel on equal footing with fluctuations in the magnetic and superconducting channels. EF is larger, the RG flow runs only down to OðEFÞ, as at smaller energies different channels no longer “talk” to each other In this situation, the d-POM channel remains weak, and the system develops either SDW or sþ− SC order. [41], which detected EF ∼ 200 meV on electron pockets in weakly doped BaFe2As2) In this situation, the nematic order is most likely promoted by composite stripe SDW fluctuations, which force the C4 symmetry to break at a higher temperature than O(3) spinrotation symmetry (an Ising-nematic order). Some technical details of RG analysis are presented in the Supplemental Material (SM) [42]
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