Finite Size Effects of the Surface States in a Lattice Model of Topological Insulator
arXiv:1111.3528 · doi:10.1016/j.physe.2011.12.008
Abstract
Energy gap and wave function in thin films of topological insulator is studied, based on tight--binding model. It is revealed that thickness dependence of the magnitude of energy gap is composed of damping and oscillation. The damped behavior originates from the presence of gapless surface Dirac cone in the infinite thickness limit. On the other hand, the oscillatory behavior stems from electronic properties in the thin thickness limit.
References in corpus (26)
- Topological insulators and superconductors
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- 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
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Nonlocal edge state transport in the quantum spin Hall state
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
- Spin Polarization and Transport of Surface States in the Topological Insulators Bi2Se3 and Bi2Te3 from First Principles
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Spin polarization of the quantum spin Hall edge states
- Evidence for electron-electron interaction in topological insulator thin films
- Electron interaction-driven insulating ground state in Bi2Se3 topological insulators in the two dimensional limit
- Tunable Surface Conductivity in Bi2Se3 Revealed in Diffusive Electron Transport
- Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
- Single-Dirac-Cone topological surface states in TlBiSe2 class of Topological Insulators
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- Topology induced anomalous defect production by crossing a quantum critical point
- Robustness of topologically protected surface states in layering of Bi2Te3 thin films
- Band Structure Engineering of Multinary Chalcogenide Topological Insulators
- Topological insulators in the quaternary chalcogenide compounds and ternary famatinite compounds
- Density Functional Study of Ternary Topological Insulator Thin Films
- Localization of phonons in ion traps with controlled quantum disorder
- A new experimental approach for the exploration of topological quantum phenomena : Topological Insulators and Superconductors
Cited by in corpus (13)
- Colloquium: Topological Band Theory
- Electron-hole pairing in topological insulator thin film
- Finite-size-effect-induced topological phase transition in a topological crystalline insulator
- Finite-size energy gap in weak and strong topological insulators
- Relativistic k.p Hamiltonians for centrosymmetric topological insulators from ab initio wave functions
- The origin of bias independent conductance plateaus and zero bias conductance peaks in Bi2Se3/NbSe2 hybrid structures
- A tight-binding model for the band dispersion in rhombohedral topological insulators over the whole Brilluoin zone
- Dimensional crossover of transport characteristics in topological insulator nanofilms
- One-dimensional topological insulator: a model for studying finite-size effects in topological insulator thin films
- Comparative study of Weyl semimetal, topological and Chern insulators: thin-film point of view
- Emergent Momentum-Space Skyrmion Texture on the Surface of Topological Insulators
- Non-unique connection between bulk topological invariants and surface physics
- Enhanced detection of circularly polarized photons with topological materials