Topological Gapless Phases in Non-Symmorphic Antiferromagnets

Abstract

Topologically protected fermionic quasiparticles occur in metals with band degeneracy as a consequence of band structure topology. Here we unveil topological semimetal and metal phases in a variety of non-symmorphic collinear antiferromagnets with glide reflection symmetry, a combination of mirror and half-lattice translation. We find gapless phases with Dirac points having multiple symmetry-protection as well as electronic structures with triple and quadruple band-crossing points. Glide semimetal is shown to be converted into a topological phase with non-trivial ${\mathbb{Z}}_2$ topological charges at the Dirac points due to inversion and time-inversion symmetry combination. More striking is the emergence of a hidden non-unitary relation between the states in the glide sectors that provide a general mechanism to get multiple band touching points. The split Fermi points uncover a ${\mathbb{Z}}_2$ protection that drives the changeover of the multiple-degenerate gapless phase into a topological metal built from their connection through distinct Fermi lines. Besides a new perspective of ordered states in complex materials, our findings indicate that novel topological gapless phases and edge states may occur in a wide class of magnetic systems.

21 pages, 5 figures

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Cited by in corpus (14)

• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings
• Model Hamiltonian and Time Reversal Breaking Topological Phases of Anti-ferromagnetic Half-Heusler Materials
• Multi-critical topological transition at quantum criticality
• Unusual change in the Dirac-cone energy band upon two-step magnetic transition in CeBi
• Multiple band-crossings and Fermi surface topology: role of double nonsymmorphic symmetries in MnP-type crystal structures
• Topological properties of multilayers and surface steps in the SnTe material class
• Rational boundary charge in one-dimensional systems with interaction and disorder
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• Nodal S-wave Superconductivity in Antiferromagnetic Semimetals
• Movable but not removable band degeneracies in a symmorphic crystal
• Zeeman spin-orbit coupling in antiferromagnetic conductors
• Topological Aspects of Antiferromagnets