Power law decay of local density of states oscillations near a line defect in a system with semi-Dirac points
arXiv:2103.17066 · doi:10.1103/PhysRevB.103.125429
Abstract
We theoretically study the power-law decay behavior of the local density of states (LDOS) oscillations near a line defect in system with semi-Dirac points by using a low-energy k.p Hamiltonian. We find that the LDOS oscillations are strongly anisotropic and sensitively depend on the orientation of the line defect. We analytically obtain the decay indexes of the LDOS oscillations near a line defect running along different directions by using the stationary phase approximation. Specifically, when the line defect is perpendicular to the linear dispersion direction, the decay index is -5/4 whereas it becomes -1/4 if the system is gapped, both of which are different from the decay index -3/2 in isotropic Dirac systems. In contrast, when the line defect is perpendicular to the parabolic dispersion direction, the decay index is always -1/2 regardless of whether the system is gapped or not, which is the same as that in a conventional semimetal. In general, when the defect runs along an arbitrary direction, the decay index sensitively depends on the incident energy for a certain orientation of the line defect. It varies from -5/4 to -1/2 due to the absence of strict stationary phase point. Our results indicate that the decay index -5/4 provides a fingerprint to identify semi-Dirac points in 2D electron systems.
arXiv commentPublished version: 9 Pages, 6 Figures
References in corpus (34)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Chiral tunneling and the Klein paradox in graphene
- A tight-binding approach to uniaxial strain in graphene
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Observation of tunable bandgap and anisotropic Dirac semimetal state in black phosphorus
- Electric Field Induced Topological Phase Transition in Two-Dimensional Few-layer Black Phosphorus
- Merging of Dirac points in a two-dimensional crystal
- Half-metallic semiDirac point generated by quantum confinement in TiO/VO nanostructures
- A new magnetic field dependence of Landau levels on a graphene like structure
- Zero modes of tight binding electrons on the honeycomb lattice
- Tight-binding modeling and low-energy behavior of the semi-Dirac point
- Emergence of Two-Dimensional Massless Dirac Fermions, Chiral Pseudospins, and Berry's Phase in Potassium Doped Few-Layer Black Phosphorus
- Emergence of a Chern-insulating state from a semi-Dirac dispersion
- Power-Law Decay of Standing Waves on the Surface of Topological Insulators
- Phenomenology of a semi-Dirac semi-Weyl semi-metal
- A semi-Dirac point in the Hofstadter spectrum
- Optical properties of a semi-Dirac material
- Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
- Semi-Dirac Semimetal in Silicene Oxide
- Long wavelength local density of states oscillations near graphene step edges
- Stationary phase approximation approach to the quasiparticle interference on the surface of a strong topological insulator
- Scattering from Surface Step Edges in Strong Topological Insulators
- Quasiparticle Interference Studies of Quantum Materials
- Electric-field tunable Dirac semimetal state in phosphorene thin films
- Optical conductivity of black phosphorus with a tunable electronic structure
- Dirac-semimetal phase diagram of two-dimensional black phosphorus
- Surface states scattering from a step defect in topological insulator Bi_{2}Te_{3}
- Constructing a Large Variety of Dirac-Cone Materials in the BiSb Thin Film System
- Quantum Hall studies of a Semi-Dirac Nanoribbon
- Anisotropic surface transport in topological insulators in proximity to a helical spin density wave
- RKKY interaction between extended magnetic defect lines in graphene
- Connectivity of edge and surface states in topological insulators