Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals

Abstract

Multi-component electronic systems can appear in solid state systems with active orbital band structures. They exhibit richer structures of topological superconductivity beyond the conventional scenarios of spin singlet and triplet pairings in spin-$\frac{1}{2}$ systems. Examples include the half-Heusler compounds RPtBi series (R for a rare earth element), whose electronic structures are described by the effective Luttinger-Kohn model with spin-$\frac{3}{2}$ fermions exhibiting strong spin-orbit coupling and band conversion. Recent experiments provide evidence to unconventional superconductivity in the YPtBi material with nodal spin-septet pairing. We systematically study topological pairing structures in spin-$\frac{3}{2}$ systems with cubic group symmetries and calculate surface Majorana spectra, which exhibit both the zero energy flat band and the cubic dispersion. The signatures of these surface states in the quasi-particle interference patterns are studied, which can be tested in future tunneling experiments.

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• Heusler, Weyl, and Berry
• Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• Superconductivity in half-Heusler compound TbPdBi
• d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
• Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals
• Experimental consequences of Bogoliubov Fermi surfaces
• Bogoliubov Fermi surfaces stabilized by spin-orbit coupling
• Singlet-Quintet Mixing in Spin-Orbit Coupled Superconductors with j=3/2 Fermions
• Tuning the Parity Mixing of Singlet-Septet Pairing in a Half-Heusler Superconductor
• Perspective: Heusler interfaces -- opportunities beyond spintronics?
• Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing
• Unconventional superconductivity and Surface pairing symmetry in Half-Heusler Compounds
• Campbell penetration depth in low carrier density superconductor YPtBi
• Distortional weak-coupling instability of Bogoliubov Fermi surfaces
• Ground state of the three-dimensional BCS d-wave superconductor
• Optical response of Luttinger semimetals in the normal and superconducting states
• Critical phenomena at the complex tensor ordering phase transition
• Antiferromagnetic spin fluctuations and unconventional superconductivity in topological superconductor candidate YPtBi revealed by ${}^{195}$Pt-NMR
• Intrinsic finite-energy Cooper pairing in $j=3/2$ superconductors
• Superconductivity in PtSbS with a Noncentrosymmetric Cubic Crystal Structure
• Time reversal symmetry breaking and $d$-wave superconductivity of triple-point fermions
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Infrared fixed points of higher-spin fermions in topological semimetals
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Electronic Properties of BaPtP with a Noncentrosymmetric Cubic Crystal Structure