Unconventional Surface State Pairs in a High-Symmetry Lattice with Anti-ferromagnetic Band-folding

Abstract

Many complex magnetic structures in a high-symmetry lattice can arise from a superposition of well-defined magnetic wave vectors. These "multi-q" structures have garnered much attention because of interesting real-space spin textures such as skyrmions. However, the role multi-q structures play in the topology of electronic bands in momentum space has remained rather elusive. Here we show that the type-I anti-ferromagnetic 1q, 2q and 3q structures in an face-centered cubic sublattice with band inversion, such as NdBi, can induce unconventional surface state pairs inside the band-folding hybridization bulk gap. Our density functional theory calculations match well with the recent experimental observation of unconventional surface states with hole Fermi arc-like features and electron pockets below the Neel temperature. We further show that these multi-q structures have Dirac and Weyl nodes. Our work reveals the special role that band-folding from anti-ferromagnetism and multi-q structures can play in developing new types of surface states.

31 pages, 11 figures

References in corpus (13)

• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
• Topological correspondence between magnetic space group representations
• Emergence of Fermi arcs and novel magnetic splitting in an antiferromagnet
• Multifarious skyrmion phases on a trilayer triangular lattice
• Fragility of Fermi arcs in Dirac semimetals
• Rare-earth monopnoctides -- family of antiferromagnets hosting magnetic Fermi arcs
• A theory of skyrmion crystal formation
• Unusual change in the Dirac-cone energy band upon two-step magnetic transition in CeBi
• Phase degree of freedom and topology in multiple-$Q$ spin textures
• Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
• Prediction of Spin Polarized Fermi Arcs in Quasiparticle Interference of CeBi
• Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
• Topological Descendants of Multicritical EuTl2

Cited by in corpus (8)

• Directional effects of antiferromagnetic ordering on the electronic structure in NdSb
• Unusual surface states associated with the PT-symmetry breaking and antiferromagnetic band folding in NdSb
• Origin of the exotic electronic states in antiferromagnetic NdSb
• Unexpected changes in the band structure within AFM1 state of CeBi
• Observation of spin splitting in the surface electronic structure of antiferromagnet NdBi
• Long-range magnetic order induced surface state in GdBi and DyBi
• Cubic Dirac Semimetals: General Theory and Application to Rare-Earth Magnets
• Unconventional band splitting of CeSb in the devil's staircase transition