Topological Crystalline Magnets: Symmetry-Protected Topological Phases of Fermions

Abstract

We introduce a novel class of interaction-enabled topological crystalline insulators in two- and three-dimensional electronic systems, which we call "topological crystalline magnet." It is protected by the product of the time-reversal symmetry $\mathcal{T}$ and a mirror symmetry or a rotation symmetry $\mathcal{R}$. A topological crystalline magnet exhibits two intriguing features: (i) it cannot be adiabatically connected to any Slater insulator and (ii) the edge state is robust against coupling electrons to the edge. These features are protected by the anomalous symmetry transformation property $(\mathcal{R}\mathcal{T}{)}^2=-1$ of the edge state. An anisotropic response to the external magnetic field can be an experimental signature.

5 pages, 4 figures; v2: minor revision, to appear in Phys. Rev. B (Rapid Communications)

References in corpus (8)

• Topological Crystalline Insulators
• Antiferromagnetic topological insulators
• Topology of crystalline insulators and superconductors
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
• Symmetry Protected Topological States of Interacting Fermions and Bosons
• Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry

Cited by in corpus (6)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Observation of trapped fractional charge and topological states at disclination defects in higher-order topological insulators
• General corner charge formulas in various tetrahedral and cubic space groups
• From Frustrated to Unfrustrated: Coupling two triangular-lattice itinerant Quantum Magnets
• Theory of fractional corner charges in cylindrical crystal shapes
• Local expression of fractional corner charges in obstructed atomic insulators and relationship with the fractional disclination charges