Engineering topological phases in the Luttinger semimetal $\alpha$-Sn

Abstract

$\alpha$-Sn is well known as a typical Luttinger semimetal with a quadratic band touching at the $\Gamma$ point. Based on the effective $k\cdot p$ analysis as well as first-principles calculations, we demonstrate that multiple topological phases with a rich diagram, including topological insulator, Dirac semimetal, and Weyl semimetal phases, can be induced and engineered in $\alpha$-Sn by external strains, magnetic fields, and circularly polarized light (CPL). Intriguingly, not only the conventional type-I Weyl nodes, but also type-II Weyl nodes and double-Weyl nodes can be generated directly from the quadratic semimetal by applying a magnetic field or CPL. Our results apply equally well to other Luttinger semimetals with similar crystal and electronic structures, and thus open an avenue for realizing and engineering multiple topological phases on a versatile platform.

arXiv comment15 pages, 6 figures

References in corpus (118)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Berry Phase Effects on Electronic Properties
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Maximally-localized generalized Wannier functions for composite energy bands
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological 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
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Maximally-localized Wannier functions for entangled energy bands
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Epitaxial Growth of Two-Dimensional Stanene
• Topological Materials: Weyl Semimetals
• Dirac semimetal in three dimensions
• Experimental discovery of Weyl semimetal TaAs
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Large-gap quantum spin Hall insulators in tin films
• Majorana fermions in a tunable semiconductor device
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Experimental observation of Weyl points
• Observation of Weyl nodes in TaAs
• Observation of the chiral magnetic effect in ZrTe5
• Discovery of a Weyl Fermion semimetal state in NbAs
• Topological response in Weyl semimetals and the chiral anomaly
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Dirac Line Nodes in Inversion Symmetric Crystals
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Recent developments in transport phenomena in Weyl semimetals
• Topological nodal line semimetals
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Weyl points and line nodes in gapless gyroid photonic crystals
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
• Chiral Topological Superconductor From the Quantum Hall State
• Quantum anomalous Hall effect and related topological electronic states
• Floquet topological insulators
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Electromagnetic Response of Weyl Semimetals
• Observation of the Type-II Weyl Semimetal Phase in MoTe2
• Negative Magnetoresistance in Dirac Semimetal Cd3As2
• Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
• Experimental discovery of a topological Weyl semimetal state in TaP
• MoTe2: A Type-II Weyl Topological Metal
• Weyl semimetal with broken time reversal and inversion symmetries
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• Creating stable Floquet-Weyl semimetals by laser-driving of 3D Dirac materials
• Time-reversal invariant realization of the Weyl semimetal phase
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Observation of Weyl nodes and Fermi arcs in TaP
• Nodal-link semimetals
• Dirac Fermions in Antiferromagnetic Semimetal
• Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• Weyl semimetals from noncentrosymmetric topological insulators
• Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
• Fermi arcs and their topological character in the candidate type-II Weyl semimetal MoTe2
• Superconductivity in Few-Layer Stanene
• Spectroscopic Evidence of Type II Weyl Semimetal State in WTe2
• Type-II nodal loops: theory and material realization
• Topological semimetals with double-helix nodal link
• Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP${}_2$ (X = Mo, W)
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• When chiral photons meet chiral fermions - Photoinduced anomalous Hall effects in Weyl semimetals
• Dirac nodal lines and induced spin Hall effect in metallic rutile oxides
• Raman signatures of inversion symmetry breaking and structural phase transition in type-II Weyl semimetal MoTe2
• Elemental Topological Insulator with a Tunable Fermi Level: Strained α-Sn on InSb(001)
• Floquet Weyl Semimetal Induced by Off-Resonant Light
• Ideal Weyl semimetals in the chalcopyrites CuTlSe2, AgTlTe2, AuTlTe2 and ZnPbAs2
• Quantum Transport in Topological Semimetals under Magnetic Fields
• The chiral anomaly factory: Creating Weyl fermions with a magnetic field
• Elemental topological Dirac semimetal: α-Sn on InSb(111)
• Electronic Structures and Surface States of Topological Insulator Bi${}_{1-x}$Sb${}_x$
• Type-II Weyl cone transitions in driven semimetals
• Dirac cone with helical spin polarization in ultrathin $\alpha$-Sn(001) films
• Magnetic tunneling induced Weyl node annihilation in TaP
• Chiral magnetic effect in two-band lattice model of Weyl semimetal
• Theory of photoinduced Floquet Weyl semimetal phases
• Quantum oscillations and the Fermi-surface topology of the Weyl semimetal NbP
• Floquet topological semimetal phases of an extended kicked Harper model
• Topological States in Ferromagnetic CdO/EuO Superlattices and Quantum Wells
• Classification of stable Dirac and Weyl semimetals with reflection and rotational symmetry
• Floquet multi-Weyl points in crossing-nodal-line semimetals
• Tensile Strained Gray Tin: a New Dirac Semimetal for Observing Negative Magnetoresistance with Shubnikov-de-Haas Oscillation
• Photovoltaic anomalous Hall effect in line-node semimetals
• Floquet Semimetal with Floquet-band Holonomy
• Floquet dynamics in two-dimensional semi-Dirac semimetals and three-dimensional Dirac semimetals
• Antiferromagnetic Dirac Semimetals in Two Dimensions
• Weyl semimetals and superconductors designed in an orbital selective superlattice
• Breakdown of the Chiral Anomaly in Weyl Semimetals in a Strong Magnetic Field
• Photoinduced topological phase transition from a crossing-line nodal semimetal to a multiple-Weyl semimetal
• Generating controllable type-II Weyl points via periodic driving
• The topological surface state of $\alpha$-Sn on InSb(001) as studied by photoemission
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Irradiated three-dimensional Luttinger semimetal: A factory for engineering Weyl semimetals
• Floquet dynamics in multi-Weyl semimetals

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