The topological-crystalline-insulator (Pb,Sn)Te - surface states and their spin-polarization

Abstract

Using a tight-binding approach we study theoretically the nature of surface states in Pb0.4Sn0.6Te - the newly discovered topological-crystalline-insulator. Apart from the studied before (001) surface states, two other surface families, {011} and {111}, in which the mirror symmetry of the crystal's rock-salt structure plays the same role in topological protection, are considered. Our calculations show that while in (111) surface states of (Pb,Sn)Te four single topologically protected Dirac-cones should appear, for the (110) surface states the protection is lifted for two L points. In this case, instead of the Dirac points energy gaps occur in the surface states, due to the interaction between the two L valleys. In all studied cases a chiral spin texture is obtained.

8 pages, 7 figures, submitted to Phys. Rev. B

References in corpus (8)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Crystalline Insulators
• Emergent quantum confinement at topological insulator surfaces
• Non-trivial spin-texture of the coaxial Dirac cones on the surface of topological crystalline insulator SnTe
• Spin-polarized (001) surface states of the topological crystalline insulator Pb_{0.73}Sn_{0.27}Se
• Contact superconductivity in In-PbTe junctions

Cited by in corpus (49)

• Classification of topological quantum matter with symmetries
• Colloquium: Topological Band Theory
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Spin-filtered Edge States with an Electrically Tunable Gap in a Two-Dimensional Topological Crystalline Insulator
• Surface States of Topological Crystalline Insulators in IV-VI Semiconductors
• Rock-salt SnS and SnSe: Native Topological Crystalline Insulators
• Crystal Field Effect Induced Topological Crystalline Insulators In Monolayer IV-VI Semiconductors
• Topological Surface Transport in Epitaxial SnTe Thin Films Grown on Bi2Te3
• Experimental observation of Dirac-like surface states and topological phase transition in Pb${}_{1-x}$Sn${}_x$Te(111) films
• Two types of Dirac-cone surface states on (111) surface of topological crystalline insulator SnTe
• Symmetry breaking and Landau quantization in topological crystalline insulators
• Engineering relativistic effects in ferroelectric SnTe
• Observation of topological crystalline insulator surface states on (111)-oriented Pb${}_{1-x}$Sn${}_x$Se films
• On the nature of the band inversion and the topological phase transition in (Pb,Sn)Se
• Direct observation and temperature control of the surface Dirac gap in the topological crystalline insulator (Pb,Sn)Se
• Chiral Phonons with Giant Magnetic Moments in a Topological Crystalline Insulator
• Electrically Tunable Conductance and Edge Modes in Topological Crystalline Insulator Thin Films: Tight-Binding Model Analysis
• Finite-size-effect-induced topological phase transition in a topological crystalline insulator
• Quantum Spin Hall Effect in IV-VI Topological Crystalline Insulators
• Valleytronics on the Surface of Topological Crystalline Insulator: Elliptic Dichroism and Valley-Selective Optical Pumping
• Electrically Tunable Quantum Spin Hall State in Topological Crystalline Insulator Thin films
• Dirac parameters and topological phase diagram of Pb1-xSnxSe from magneto-spectroscopy
• SU(3) Quantum Hall Ferromagnetism in SnTe
• Superconductivity induced by In substitution into the topological crystalline insulator Pb(0.5)Sn(0.5)Te
• $(111)$ surface states of SnTe
• Inducing Lifshitz transition by extrinsic doping of surface bands in topological crystalline insulator Pb${}_{1-x}$Sn${}_x$Se
• Strain engineering of topological properties in lead-salt semiconductors
• Phonon-induced topological insulating phases in group IV-VI semiconductors
• Chromium-Induced Ferromagnetism with Perpendicular Anisotropy in Topological Crystalline Insulator SnTe (111) Thin Films
• Fully gapped superconductivity in In-doped topological crystalline insulator Pb${}_{0.5}$Sn${}_{0.5}$Te
• The effect of hydrostatic pressure and uniaxial strain on the electronic structure of Pb${}_{\text{1-x}}$Sn${}_{\text{x}}$Te
• Observation of oscillatory relaxation in the Sn-terminated surface of epitaxial rock-salt SnSe $\{111\}$ topological crystalline insulator
• Alloy broadening of the transition to the non-trivial topological phase of Pb_{1-x}Sn_{x}Te
• Topological surface states on Bi${}_{1-x}$Sb${}_x$: Dependence on surface orientation, surface termination and stability
• Signatures of dephasing by mirror-symmetry breaking in weak-antilocalization magnetoresistance across the topological transition in Pb${}_{1-x}$Sn${}_x$Se
• ARPES study of the epitaxially grown topological crystalline insulator SnTe(111)
• Nanomaterials of the topological crystalline insulators, Pb_(1-x)Sn_(x)Te and Pb_(1-x)Sn_(x)Se
• Topological Properties of SnSe/EuS and SnTe/CaTe Interfaces
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• A Systematic Investigation of the Coupling between One-Dimensional Edge States of a Topological Crystalline Insulator
• Topological states on uneven (Pb,Sn)Se (001) surfaces
• Interaction between interface and massive states in multivalley topological heterostructures
• Spin-polarization of topological crystalline and normal insulator Pb${}_{1-x}$Sn${}_x$Se (111) epilayers probed by photoelectron spectroscopy
• Fragility of the Dirac Cone Splitting in Topological Crystalline Insulator Heterostructures
• Topological electronic structure of twin boundaries and twinning superlattices in the SnTe material class
• Band structure and topological phases of Pb${}_{1-x-y}$Sn${}_x$Mn${}_y$Te by ab initio calculations
• Tuning topological surface states by cleavage angle in topological crystalline insulators
• Tuning topological surface magnetism by bulk alloying
• Quantum spin Hall effect in strained (111)-oriented SnSe layers