Ising superconductors: Interplay of magnetic field, triplet channels, and disorder

Abstract

We study the superconducting instability in disordered non-centrosymmetric monolayers with intrinsic Ising spin-orbit coupling (SOC) subjected to an in-plane Zeeman magnetic field. The pairing interaction contains the channels allowed by crystal symmetry, such that in general, the pairing state is a mixture of singlet and triplet Cooper pairs. The joint action of SOC and Zeeman field selects a specific in-plane $\mathbf{d}$-vector triplet component to couple with the singlets, which gains robustness against disorder through the coupling. The out-of-plane $\mathbf{d}$-vector component, that in the clean case is immune to both the Zeeman field and SOC is obliterated by a very small impurity scattering rate. We formulate the quasi-classical theory of Ising superconductors and solve the linearized Eilenberger equations to obtain the pair-breaking equations that determine the Zeeman field -- temperature dependence of the continuous superconducting transition. Our discussion emphasizes how the Zeeman field, SOC and disorder affect the different superconducting order parameters, and we show how the spin-fields inevitably induce odd-frequency pairing correlations.

arXiv comment23 pages, 7 figures

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• Magnetic field-induced "mirage" gap in an Ising superconductor
• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
• Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
• Nontrivial doping evolution of electronic properties in Ising-superconducting alloys
• Mechanisms of the in-plane magnetic anisotropy in superconducting NbSe2
• Signatures of triplet correlations in density of states of Ising superconductors
• Magnetic impurities in thin films and 2D Ising superconductors
• Ising superconductivity: a first-principles perspective
• Controlling charge and spin transport in an Ising-superconductor Josephson junction
• Spin supercurrent in superconductor/ferromagnet van-der-Waals heterostructures
• Unconventional singlet-triplet superconductivity
• Electron-phonon coupling, critical temperatures and gaps in $\mathrm{NbS}{\mathrm{e}}_2$/$\mathrm{Mo}{\mathrm{S}}_2$ Ising Superconductors
• Spectral properties of a mixed singlet-triplet Ising superconductor
• Unconventional pairing in Ising superconductors: Application to monolayer NbSe${}_2$
• Spectral properties of disordered Ising superconductors with singlet and triplet pairing in in-plane magnetic fields
• Kondo Effect in Defect-bound Quantum Dots Coupled to NbSe${}_2$
• Interplay of magnetic field and magnetic impurities in Ising superconductors
• Specular-Andreev reflection and Andreev interference in an Ising superconductor junction
• Low-temperature anomaly and anisotropy of critical magnetic fields in transition-metal dichalcogenide superconductors
• Yu-Shiba-Rusinov States in Ising Superconductors
• Josephson junctions of topological nodal superconductors