Magnetic warping in topological insulators

Abstract

We analyze the electronic structure of topological surface states in the family of magnetic topological insulators MnBi${}_{2n}$Te${}_{3n+1}$. We show that, at natural-cleavage surfaces, the Dirac cone warping changes its symmetry from hexagonal to trigonal at the magnetic ordering temperature. In particular, an energy splitting develops between the surface states of same band index but opposite surface momenta upon formation of the long-range magnetic order. As a consequence, measurements of such energy splittings constitute a simple protocol to detect the magnetic ordering via the surface electronic structure, alternative to the detection of the surface magnetic gap. Interestingly, while the latter signals a nonzero surface magnetic flux, the trigonal warping predicted here is, in addition, sensitive to the direction of the surface magnetic flux.

References in corpus (60)

• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Field Theory of Time-Reversal Invariant Insulators
• Kwant: a software package for quantum transport
• Prediction and observation of the first antiferromagnetic topological insulator
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Experimental realization of an intrinsic magnetic topological insulator
• Antiferromagnetic topological insulators
• Unique thickness-dependent properties of the van der Waals interlayer antiferromagnet $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$ films
• Symmetry breaking orbital anisotropy on detwinned Ba(Fe1-xCox)2As2 above the spin density wave transition
• Realization of the Axion Insulator State in Quantum Anomalous Hall Sandwich Heterostructures
• Gapless surface Dirac cone in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Crystal growth and magnetic structure of MnBi2Te4
• Spatial Fluctuations of Helical Dirac Fermions on the Surface of Topological Insulators
• Topological Electronic Structure and Its Temperature Evolution in Antiferromagnetic Topological Insulator MnBi2Te4
• Dirac surface states in intrinsic magnetic topological insulators EuSn2As2 and MnBi2nTe3n+1
• Chemical Aspects of the Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Angle-resolved photoemission spectroscopy and its application to topological materials
• A van der Waals antiferromagnetic topological insulator with weak interlayer magnetic coupling
• Natural van der Waals heterostructural single crystals with both magnetic and topological properties
• Variety of magnetic topological phases in the (MnBi${}_2$Te${}_4$)(Bi${}_2$Te${}_3$)${}_m$ family
• Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state
• Van der Waals epitaxy of Bi2Se3 on Si(111) vicinal surface: An approach to prepare high-quality thin films of topological insulator
• Gapless Dirac surface states in the antiferromagnetic topological insulator MnBi2Te4
• Realization of an intrinsic, ferromagnetic topological state in MnBi8Te13
• Surface states and Rashba-type spin polarization in antiferromagnetic MnBi${}_2$Te${}_4$
• Characterization of graphene through anisotropy of constant-energy maps in angle-resolved photoemission
• Topological electronic structure and intrinsic magnetization in MnBi${}_4$Te${}_7$: a Bi${}_2$Te${}_3$-derivative with a periodic Mn sublattice
• Mn-rich MnSb2Te4: A topological insulator with magnetic gap closing at high Curie temperatures of 45-50 K
• Widespread spin polarization effects in photoemission from topological insulators
• Quasiparticle Interference on the Surface of the Topological Insulator Bi${}_2$Te${}_3$
• Half-Magnetic Topological Insulator
• Sample-dependent Dirac point gap in MnBi${}_2$Te${}_4$ and its response to the applied surface charge: a combined photoemission and ab initio study
• Distinct Topological Surface States on the Two Terminations of MnBi${}_4$Te${}_7$
• Relationship between Fermi-Surface Warping and Out-of-Plane Spin Polarization in Topological Insulators: a View from Spin-Resolved ARPES
• Universal gapless Dirac cone and tunable topological states in (MnBi${}_2$Te${}_4$)${}_m$(Bi${}_2$Te${}_3$)${}_n$ heterostructures
• Persistent gapless surface states in MnBi2Te4/Bi2Te3 superlattice antiferromagnetic topological insulator
• Magnetized Topological Insulator Multilayers
• Meta-magnetism of weakly-coupled antiferromagnetic topological insulators
• Orbital Complexity in Intrinsic Magnetic Topological Insulators MnBi${}_4$Te${}_7$ and MnBi${}_6$Te${}_{10}$
• Dynamical Axion Field in a Magnetic Topological Insulator Superlattice
• Any Axion Insulator Must be a Bulk Three-Dimensional Topological Insulator
• Qsymm: Algorithmic symmetry finding and symmetric Hamiltonian generation
• Dual topology in Jacutingaite Pt${}_2$HgSe${}_3$
• Hybridization-Induced Gapped and Gapless States on the Surfaces of Magnetic Topological Insulators
• Enhanced anomalous Nernst effect in disordered Dirac and Weyl materials
• Visualizing the interplay of Dirac mass gap and magnetism at nanoscale in intrinsic magnetic topological insulators
• Strongly anisotropic spin dynamics in magnetic topological insulators
• Temperature and Chemical Potential Dependence of the Parity Anomaly in Quantum Anomalous Hall Insulators
• Strongly Gapped Topological Surface States on Protected Surfaces of Antiferromagnetic MnBi${}_4$Te${}_7$ and MnBi${}_6$Te${}_{10}$
• Topological magnetic textures in magnetic topological insulators
• Magnetic skyrmion crystal at a topological insulator surface
• Mesoscopic electron focusing in topological insulators
• Hexagonal Warping Induced Nonlinear Planar Nernst Effect in Nonmagnetic Topological Insulators
• Twisted magnetic topological insulators
• Momentum-inversion symmetry breaking on the Fermi surface of magnetic topological insulators
• Two-dimensional ferromagnetic extension of a topological insulator
• Gapped Dirac cones and spin texture in thin film topological insulator
• Finite temperature fluctuation-induced order and responses in magnetic topological insulators

Cited by in corpus (9)

• Three-Dirac-fermion approach to unexpected universal gapless surface states of van der Waals magnetic topological insulators
• Experimental demonstration of a magnetically induced warping transition in a topological insulator mediated by rare-earth surface dopants
• Room-temperature nonlinear transport and microwave rectification in antiferromagnetic MnBi${}_2$Te${}_4$ films
• Symmetry-driven anisotropic coupling effect in antiferromagnetic topological insulator: Mechanism for high-Chern-number quantum anomalous Hall state
• Electrically tunable high-Chern-number quasiflat bands in twisted antiferromagnetic topological insulators
• Spin texture tunability in Mn${}_{1-x}$Ge${}_x$Bi${}_2$Te${}_4$ through varying Ge Concentration
• Reconstructing the wavefunction of magnetic topological insulators MnBi2Te4 and MnBi4Te7 using spin-resolved photoemission
• Fate of surface gaps in magnetic topological insulators
• Topological properties of domain walls in antiferromagnetic topological insulators