Antiferromagnetic Dirac Semimetals in Two Dimensions

Abstract

The search for symmetry-protected 2D Dirac semimetals analogous to graphene is important both for fundamental and practical interest. The 2D Dirac cones are protected by crystalline symmetries and magnetic ordering may destroy their robustness. Here we propose a general framework to classify stable 2D Dirac semimetals in spin-orbit coupled systems having the combined time-reversal and inversion symmetries, and show the existence of the stable Dirac points in 2D antiferromagnetic semimetals. Compared to 3D Dirac semimetals which fall into two distinct classes, Dirac semimetals in 2D with combined time-reversal and inversion symmetries belongs to single class which is closely related to the nonsymmorphic space group symmetries. We further provide a concrete model in antiferromagnetic semimetals which supports symmetry-protected 2D Dirac points. The symmetry breaking in such systems leads to 2D chiral topological states such as quantum anomalous Hall insulator and chiral topological superconductor phases.

arXiv comment7 pages, 5 figures, 2 tables

References in corpus (43)

• The electronic properties of graphene
• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• 2D materials and van der Waals heterostructures
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Experimental discovery of Weyl semimetal TaAs
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological nodal line semimetals with and without spin-orbital coupling
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Dirac Semimetals in Two Dimensions
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• Chiral Topological Superconductor From the Quantum Hall State
• Double Dirac Semimetals in Three Dimensions
• Single valley Dirac fermions in zero-gap HgTe quantum wells
• Dirac Fermions in Antiferromagnetic Semimetal
• Anisotropic Dirac fermions in a Bi square net of SrMnBi2
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• Weyl semimetals from noncentrosymmetric topological insulators
• Quantum Hall effect in a bulk antiferromagnet EuMnBi${}_2$ with magnetically confined two-dimensional Dirac fermions
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• Bulk Dirac points in distorted spinels
• Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups
• Nonsymmorphic symmetry-required band crossings in topological semimetals
• Spin-Orbit Semimetals in the Layer Groups
• Anisotropic Dirac electronic structures of AMnBi${}_2$ (A=Sr, Ca)
• Coupling of magnetic order to planar Bi electrons in the anisotropic Dirac metals AMnBi2 (A = Sr, Ca)
• Topological phases in Iridium oxide superlattices: quantized anomalous charge or valley Hall insulators
• Electrically tunable topological superconductivity and Majorana fermions in two dimensions
• Multi-$Q$ hexagonal spin density waves and dynamically generated spin-orbit coupling: time-reversal invariant analog of the chiral spin density wave
• Time-reversal-breaking topological phases in antiferromagnetic Sr${}_2$FeOsO${}_6$ films

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• Filling-enforced Magnetic Dirac Semimetals in Two Dimensions
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• Engineering topological phases in the Luttinger semimetal $\alpha$-Sn
• Persistent gapless surface states in MnBi2Te4/Bi2Te3 superlattice antiferromagnetic topological insulator
• Type-I and type-II Nodal Lines Coexistence in the Antiferromagnetic monolayer CrAs${}_2$
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• Topological semimetal state and field-induced Fermi surface reconstruction in antiferromagnetic monopnictide NdSb
• Antiferromagnetic Topological Nodal Line Semimetals
• Two-dimensional antiferromagnetic Dirac fermions in monolayer TaCoTe${}_2$
• Chern-insulator phase in antiferromagnets
• Intrinsic Magnetic Topological Materials
• Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic semimetals
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• Filling-enforced Dirac loops and their evolutions under various perturbations
• Movable but not removable band degeneracies in a symmorphic crystal
• Voltage induced switching of an antiferromagnetically ordered topological Dirac semimetal
• Generation of Spin Currents by Magnetic Field in $\mathcal{T}$- and $\mathcal{P}$-Broken Materials
• Unified low-energy effective Hamiltonian and the band topology of $p$-block square-net layer derivatives
• Fully linear band crossings at high symmetry points in layers: classification and role of spin-orbit coupling and time reversal
• Floquet Spin Splitting and Spin Generation in Antiferromagnets
• Semimetallic spin-density wave state in iron pnictides
• Weyl semimetallic state with antiferromagnetic order in Rashba-Hubbard model
• Topological Aspects of Antiferromagnets
• Impact of thermal fluctuations on transport in antiferromagnetic semimetals