Two-dimensional Topological Semimetals Protected by Symmorphic Symmetries

Abstract

Two-dimensional (2D) band crossing semimetals (BCSMs) could be used to build a range of novel nanoscale devices such as superlenses and transistors. We find that symmorphic symmetry can protect a new type of robust 2D BCSMs, unlike the previously proposed 2D essential BCSMs protected by non-symmorphic symmetry [Young et al., Phys. Rev. Lett. 115, 126803 (2015)]. This type of symmorphic symmetry protected (SSP) 2D essential BCSMs cannot be pair annihilated without destroying the crystalline symmetries, as opposed to the 2D BCSMs caused by the accidental band crossing. Through group theory analysis, we find that 2D SSP BCSMs can only exist at the K (K') point of Brillouin zone (BZ) of four layer groups and identify nonmagnetic 2D FeB2 as a candidate. Interestingly, nonmagnetic 2D SSP BCSMs can host a single pair of band crossing points (BCPs), whereas nonmagnetic three-dimensional (3D) Weyl semimetals (WSMs) have at least two pairs of band crossing Weyl points. It is found that the single pair of BCPs are robust against any kinds of strain. Furthermore, our calculation suggests that essential 2D SSP BCSMs can be used to realize electric field control of spin-texture, thus are promising candidates for spintronic devices.

arXiv comment25 pages, 7 figures, PRB, Accepted

References in corpus (44)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• WannierTools: An open-source software package for novel topological materials
• Type-II Weyl Semimetals
• Weyl Semimetal in a Topological Insulator Multilayer
• Maximally-localized Wannier functions for entangled energy bands
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• A tight-binding approach to uniaxial strain in graphene
• Model Hamiltonian for Topological Insulators
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Dirac Semimetals in Two Dimensions
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• The Rare Two-Dimensional Materials with Dirac Cones
• Topological quantum properties of chiral crystals
• Anomalous Hall Effect in Weyl Metals
• MoTe2: A Type-II Weyl Topological Metal
• Direct optical detection of Weyl fermion chirality in a topological semimetal
• Chiral anomaly and transport in Weyl metals
• Merging of Dirac points in a two-dimensional crystal
• Existence and topological stability of Fermi points in multilayered graphene
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Giant intrinsic spin Hall effect in the TaAs family of Weyl semimetals
• Anomalous Hall effect in Weyl semimetal half Heusler compounds RPtBi (R = Gd and Nd)
• Two-dimensional Weyl Half Semimetal and Tunable Quantum Anomalous Hall Effect in Monolayer PtCl${}_3$
• Rotation Anomaly and Topological Crystalline Insulators
• Two-Dimensional Hyperferroelectric Metals: a Different Route to Ferromagnetic-Ferroelectric Multiferroics
• Ideal Weyl semimetals in the chalcopyrites CuTlSe2, AgTlTe2, AuTlTe2 and ZnPbAs2
• Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups
• Spin-Orbit Semimetals in the Layer Groups
• Emergence of Two-Dimensional Massless Dirac Fermions, Chiral Pseudospins, and Berry's Phase in Potassium Doped Few-Layer Black Phosphorus
• Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
• Designing Dirac points in two-dimensional lattices
• Topological nodal-line semimetals in ferromagnetic rare-earth-metal monohalides
• Unconventional topological phase transition in two-dimensional systems with space-time inversion symmetry
• Topologically entangled Rashba-split Shockley states on the surface of grey arsenic
• Determine the chirality of Weyl fermions from the circular dichroism spectra of time-dependent ARPES
• Band splitting with vanishing spin polarizations in noncentrosymmetric crystals
• Classification of accidental band crossings and emergent semimetals in two-dimensional noncentrosymmetric systems
• Switchable Weyl nodes in topological Kagome ferromagnet Fe3Sn2

Cited by in corpus (5)

• Abundant surface-semimetal phases in three-dimensional obstructed atomic insulators
• Unprotected quadratic band crossing points and quantum anomalous Hall effect in FeB2 monolayer
• Robustness of spin-polarized edge states in a two-dimensional topological semimetal without inversion symmetry
• Fully linear band crossings at high symmetry points in layers: classification and role of spin-orbit coupling and time reversal
• Floquet-Weyl semimetals generated by an optically resonant interband-transition