Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus

Abstract

We report the realization of novel symmetry-protected Dirac fermions in a surface-doped two-dimensional (2D) semiconductor, black phosphorus. The widely tunable band gap of black phosphorus by the surface Stark effect is employed to achieve a surprisingly large band inversion up to ~0.6 eV. High-resolution angle-resolved photoemission spectra directly reveal the pair creation of Dirac points and their moving along the axis of the glide-mirror symmetry. Unlike graphene, the Dirac point of black phosphorus is stable, as protected by spacetime inversion symmetry, even in the presence of spin-orbit coupling. Our results establish black phosphorus in the inverted regime as a simple model system of 2D symmetry-protected (topological) Dirac semimetals, offering an unprecedented opportunity for the discovery of 2D Weyl semimetals.

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Cited by in corpus (48)

• Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
• Photoinduced topological phase transitions in strained black phosphorus
• Stiefel-Whitney classes and topological phases in band theory
• Screening magnetic two-dimensional atomic crystals with nontrivial electronic topology
• Strain-engineered Majorana Zero Energy Modes and ϕ0 Josephson State in Black Phosphorus
• Fraunhofer response and supercurrent spin switching in black phosphorus with strain and disorder
• Anisotropic two-dimensional screening at the surface of black phosphorus
• Dirac States in an Inclined Two-Dimensional Su-Schrieffer-Heeger Model
• Quantum Criticality of Semi-Dirac Fermions in 2+1 Dimensions
• Optical conductivity of black phosphorus with a tunable electronic structure
• Semi-Dirac Fermions in a Topological Metal
• Non-linear transport without spin-orbit coupling or warping in two-dimensional Dirac semimetals
• Control of superconducting pairing symmetries in monolayer black phosphorus
• Quantum Valley Hall effect without Berry curvature
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• Bulk and surface electronic states in the dosed semimetallic HfTe${}_2$
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• Two-dimensional Topological Semimetals Protected by Symmorphic Symmetries
• Spontaneous mass generation due to phonons in a two-dimensional Dirac fermion system
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Floquet optical selection rules in black phosphorus
• Band gap reconstruction at the interface between black phosphorus and a gold electrode
• Coulomb interactions in systems of generalized semi-Dirac fermions
• Semiclassical Boltzmann transport theory of few-layer black phosphorus in various phases
• Tunable Dirac points in a two-dimensional non-symmorphic wallpaper group lattice
• Anisotropic Pseudospin Tunneling in Two-Dimensional Black Phosphorus Junctions
• Dirac spectrum in gated multilayer black phosphorus nanoribbons
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Light-induced ultrafast glide-mirror symmetry breaking in black phosphorus
• Off-resonant light-induced topological phase transition and thermoelectric transport in semi-Dirac materials
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• Novel criticality of Dirac fermions from lattice symmetry breaking
• Fermionic analogue of black hole radiation with a super high Hawking temperature
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Fully linear band crossings at high symmetry points in layers: classification and role of spin-orbit coupling and time reversal
• Moiré Collapse and Luttinger Liquids In Twisted Anisotropic Homobilayers
• Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• De Haas-van Alphen oscillations near the Lifshitz transition from two electron pockets to one electron pocket in the two-dimensional Dirac fermion systems
• Movable Dirac Points with Ferroelectrics: Kink States and Berry Curvature Dipoles
• Engineering Kondo state in two-dimensional semiconducting phosphorene
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Tunable plasmon modes and topological transitions in single- and bilayer semi-Dirac materials
• Tunable quantum interference effect on magnetoconductivity in few-layer black phosphorus
• Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Diffusive density response of electrons in anisotropic multiband systems