Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors

Abstract

Line nodes in the superconducting gap are known to be a source of Majorana flat bands (MFBs) in time-reversal-invariant superconductors (SCs). Here, we extend this relation to all symmetry-protected line nodes where an additional constraint arising from a symmetry of the crystal destabilizes or hides the existence of MFBs. By establishing a one-to-one correspondence between group theoretical and topological classifications, we are able to classify the possible line-node-induced MFBs, including cases with (magnetic) non-symmorphic space groups. Our theoretical analysis reveals a new type of MFB, i.e., MFBs in antiferromagnetic SCs.

6 pages, 2 figures

References in corpus (16)

• Classification of topological insulators and superconductors in three spatial dimensions
• Antiferromagnetic topological insulators
• Topology of crystalline insulators and superconductors
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Topological surface states in nodal superconductors
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number
• Topological Blount's theorem of odd-parity superconductors
• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Topologically stable gapless phases in nonsymmorphic superconductors
• Unconventional superconducting gap structure protected by space group symmetry
• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$
• Nodal lines and nodal loops in non-symmorphic odd-parity superconductors

Cited by in corpus (22)

• Insulator-metal transition and topological superconductivity in UTe2 from a first-principles calculation
• Crystalline Nodal Topological Superconductivity and Bogolyubov Fermi Surfaces in Monolayer NbSe${}_2$
• ${\mathbb{Z}}_2$-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Theory of Tunneling Spectroscopy in Unconventional $p$-wave Magnet-Superconductor Hybrid Structures
• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Superconductivity induced by fluctuations of momentum-based multipoles
• Efficient method to compute ${\mathbb{Z}}_4$-indices with glide symmetry and applications to Möbius materials, $\mathrm{CeNiSn}$ and $\mathrm{UCoGe}$
• Majorana multipole response: General theory and application to wallpaper groups
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Movable but not removable band degeneracies in a symmorphic crystal
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Intrinsic topological superconductivity with exactly flat surface bands in the quasi-one-dimensional A${}_2$Cr${}_3$As${}_3$ (A=Na, K, Rb, Cs) superconductors
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Supercurrent-Induced Weyl Superconductivity
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture
• Superconducting Gap Structures in Wallpaper Fermion Systems
• Nuclear spin relaxation rate of nonunitary Dirac and Weyl superconductors