Topological surface states in nodal superconductors

Abstract

Topological superconductors have become a subject of intense research due to their potential use for technical applications in device fabrication and quantum information. Besides fully gapped superconductors, unconventional superconductors with point or line nodes in their order parameter can also exhibit nontrivial topological characteristics. This article reviews recent progress in the theoretical understanding of nodal topological superconductors, with a focus on Weyl and noncentrosymmetric superconductors and their protected surface states. Using selected examples, we review the bulk topological properties of these systems, study different types of topological surface states, and examine their unusual properties. Furthermore, we survey some candidate materials for topological superconductivity and discuss different experimental signatures of topological surface states.

Topical review, 34 pages, 10 figures, 1 table. Please help us to improve this review article by sending us your comments, suggestions, and missing references

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Cited by in corpus (22)

• Visualization of Topological Boundary Modes Manifesting Topological Nodal-Point Superconductivity
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Simultaneous Nodal Superconductivity and Time-Reversal Symmetry Breaking in the Noncentrosymmetric Superconductor CaPtAs
• Evidence of nodes in the order parameter of the superconducting doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ via penetration depth measurements
• Exploring Topological Superconductivity in Topological Materials
• Topologically stable gapless phases in nonsymmorphic superconductors
• Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
• Chern-Simons Theory and Wilson Loops in the Brillouin Zone
• Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Majorana zero modes in spintronics devices
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Topological Anomalous Skin Effect in Weyl Superconductors
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• Effective low energy theory for surface Andreev bound states of superconducting phases in generalized Bernevig-Hughes-Zhang models
• Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Superconducting and normal-state anisotropy of the doped topological insulator Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Majorana flat bands at structured surfaces of nodal noncentrosymmetric superconductors