A Systematic Investigation of the Coupling between One-Dimensional Edge States of a Topological Crystalline Insulator

Abstract

The interaction of spin-polarized one-dimensional (1D) topological edge modes localized along single-atomic steps of the topological crystalline insulator $P{b}_{0.7}S{n}_{0.3}Se(001)$ has been studied systematically by scanning tunneling spectroscopy. Our results reveal that the coupling of adjacent edge modes sets in at a step{to{step distance $d_{ss}<25$ nm, resulting in a characteristic splitting of a single peak at the Dirac point in tunneling spectra. Whereas the energy splitting exponentially increases with decreasing $d_{ss}$ for single-atomic steps running almost parallel, we find no splitting for single-atomic step edges under an angle of $90^o$. The results are discussed in terms of overlapping wave functions with $p_x;p_y$ orbital character.

arXiv comment6 pages, 3 figures

References in corpus (34)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Topological Crystalline Insulators
• Experimental discovery of Weyl semimetal TaAs
• Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
• Topological Crystalline Insulators in the SnTe Material Class
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Observation of Weyl nodes in TaAs
• Experimental realization of a topological crystalline insulator in SnTe
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Higher-Order Topology in Bismuth
• Topological crystalline insulator states in Pb(1-x)Sn(x)Se
• A topological crystalline insulator (TCI) phase via topological phase transition and crystalline mirror symmetry
• One-dimensional Topological Edge States of Bismuth Bilayers
• Spin-filtered Edge States with an Electrically Tunable Gap in a Two-Dimensional Topological Crystalline Insulator
• Angle Dependent Van Hove Singularities in Slightly Twisted Graphene Bilayer
• Spatial Fluctuations of Helical Dirac Fermions on the Surface of Topological Insulators
• Observation of Dirac node formation and mass acquisition in a topological crystalline insulator
• Surface States of Topological Crystalline Insulators in IV-VI Semiconductors
• Sub-nm wide electron channels protected by topology
• Robust spin-polarized midgap states at step edges of topological crystalline insulators
• Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
• The topological-crystalline-insulator (Pb,Sn)Te - surface states and their spin-polarization
• Mapping the unconventional orbital texture in topological crystalline insulators
• Edge and Interfacial States in a 2D Topological Insulator:Bi(111) Bilayer on Bi${}_2$Te${}_2$Se
• 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
• On the nature of the band inversion and the topological phase transition in (Pb,Sn)Se
• Hybridization-induced interface states in a topological insulator-magnetic metal heterostructure
• Impurity screening and stability of Fermi arcs against Coulomband magnetic scattering in a Weyl monopnictide
• Tuning the two-electron hybridization and spin states in parallel-coupled InAs quantum dots
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• Topological states on uneven (Pb,Sn)Se (001) surfaces
• Mapping the effect of defect-induced strain disorder on the Dirac states of topological insulators

Cited by in corpus (5)

• Interaction effects in a 1D flat band at a topological crystalline step edge
• STM observation of the hinge-states of bismuth nanocrystals
• Probing chiral symmetry with a topological domain wall sensor
• Strain-induced two-dimensional topological crystalline insulator
• Lifting topological protection in a quantum spin Hall insulator by edge coupling