Hybridization of topological surface states with a flat band
arXiv:1812.02823 · doi:10.1088/1361-648X/ab6741
Abstract
We address the problem of hybridization between topological surface states and a non-topological flat bulk band. Our model, being a mixture of three-dimensional Bernevig-Hughes-Zhang and two-dimensional pseudospin-1 Hamiltonian, allows explicit treatment of the topological surface state evolution by continuously changing the hybridization between the inverted bands and an additional "parasitic" flat band in the bulk. We show that the hybridization with a flat band lying below the edge of conduction band converts the initial Dirac-like surface states into a branch below and one above the flat band. Our results univocally demonstrate that the upper branch of the topological surface states is formed by Dyakonov-Khaetskii surface states known for HgTe since the 1980s. Additionally we explore an evolution of the surface states and the arising of Fermi arcs in Dirac semimetals when the flat band crosses the conduction band.
arXiv comment10 pages, 5 figures
References in corpus (43)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators in Three Dimensions
- Topological Insulators with Inversion Symmetry
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- Topological invariants of time-reversal-invariant band structures
- Topological Crystalline Insulators
- Complex Extension of Quantum Mechanics
- Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
- Topological Crystalline Insulators in the SnTe Material Class
- First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
- Nonlinear waves in -symmetric systems
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Topological crystalline insulator states in Pb(1-x)Sn(x)Se
- Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
- Quantum Spin Hall Effect in Inverted Type II Semiconductors
- Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
- Quantum Hall Effect from the Topological Surface States of Strained Bulk HgTe
- Faster than Hermitian Quantum Mechanics
- Observation of Dirac node formation and mass acquisition in a topological crystalline insulator
- Symmetry-protected ideal Weyl semimetal in HgTe-class materials
- 3D massless Kane fermions observed in a zinc-blende crystal
- From dia- to paramagnetic orbital susceptibility of Dirac cones
- Helical edge and surface states in HgTe quantum wells and bulk insulators
- Spin-orbit interaction in symmetric wells with two subbands
- Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
- Magneto-optical signature of massless Kane electrons in Cd3As2
- Temperature-driven massless Kane fermions in HgCdTe crystals: verification of universal velocity and rest-mass description
- Pressure and temperature driven phase transitions in HgTe quantum wells
- Probing quantum capacitance in a 3D topological insulator
- Volkov-Pankratov states in topological heterojunctions
- Surface and Edge States in Topological Semi-metals
- Large gap quantum spin Hall insulator, massless Dirac fermions and bilayer graphene analogue in InAs/Ga(In)Sb heterostructures
- Realistic picture of helical edge states in HgTe quantum wells
- Dirac parameters and topological phase diagram of Pb1-xSnxSe from magneto-spectroscopy
- Highly efficient spin-to-charge current conversion at room temperature in strained HgTe surface states
- Interplay of Dirac nodes and Volkov-Pankratov surface states in compressively strained HgTe
- Structure of surface electronic states in strained mercury telluride
- Revealing topological Dirac fermions at the surface of strained HgTe thin films via Quantum Hall transport spectroscopy
Cited by in corpus (6)
- Observation of Weyl and Dirac fermions at smooth topological Volkov-Pankratov heterojunctions
- Revisiting the physical origin and nature of surface states in inverted-band semiconductors
- Disorder-induced topological phase transition in HgCdTe crystals
- Magnetophotogalvanic Effects Driven by Terahertz Radiation in CdHgTe Crystals with Kane Fermions
- Positive Terahertz Photoconductivity in CdHgTe Under Hydrostatic Pressure
- Relativistic collapse of Landau levels of Kane fermions in crossed electric and magnetic fields