Strongly parity-mixed superconductivity in Rashba-Hubbard model

Abstract

Heterostructures containing strongly correlated electron systems provide a platform to clarify interplay of electron correlation and Rashba spin-orbit coupling in unconventional superconductors. Motivated by recent fabrication of artificially-engineered heavy fermion superlattices and high-temperature cuprate superconductors, we conduct a thorough study on superconductivity in Rashba-Hubbard model. In contrast to previous weak coupling approaches, we employ fluctuation-exchange approximation to describe quantum critical magnetic fluctuations and resulting superconductivity. As a result, robust Fermi surfaces against magnetic fluctuations, incommensurate spin fluctuations, and a strongly parity-mixed superconducting phase are demonstrated in a wide range of electron filling from type-II van Hove singularity to half-filling. We also clarify impacts of type-II van Hove singularity on magnetic fluctuations and superconductivity. Whereas the $d_{x^2-y^2}$-wave pairing always dominant, subdominant spin-triplet pairing with either $p$-wave or $f$-wave symmetry shows a comparable magnitude, especially near the type-II van Hove singularity. Our results resolve unsettled issues on strongly correlated Rashba systems and uncover candidate systems of nonreciprocal transport and topological superconductivity.

arXiv comment8 pages, 31 figures

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• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
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• Controlling unconventional superconductivity in artificially engineered $f$-electron Kondo superlattices
• Topological d-wave superconductivity in two dimensions
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
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• Superconductivity near the saddle point in the two-dimensional Rashba system Si(111)-$\sqrt{3}\times \sqrt{3}$-(Tl,Pb)
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Nonreciprocal transport in U(1) gauge theory of high-Tc cuprates