Thin topological insulator film in a perpendicular magnetic field

Abstract

We report on a study of an ultrathin topological insulator film with hybridization between the top and bottom surfaces, placed in a quantizing perpendicular magnetic field. We calculate the full Landau level spectrum of the film as a function of the applied magnetic field and the magnitude of the hybridization matrix element, taking into account both the orbital and the Zeeman spin splitting effects of the field. For an undoped film, we find a quantum phase transition between a state with a zero Hall conductivity and a state with a quantized Hall conductivity equal to $e^2/h$, as a function of the magnitude of the applied field. The transition is driven by the competition between the Zeeman and the hybridization energies.

4+ pages, 1 figure, published version

References in corpus (15)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Unconventional Integer Quantum Hall effect in graphene
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Large bulk resistivity and surface quantum oscillations in the topological insulator Bi2Te2Se
• Three-Dimensional Topological Insulators
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Topological origin of subgap conductance in insulating bilayer graphene
• Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
• Surface State Transport and Ambipolar Electric Field Effect in Bi2Se3 Nanodevices
• Exciton condensation and charge fractionalization in a topological insulator film
• Electric charging of magnetic textures on the surface of a topological insulator
• Magneto-optical and Magneto-electric Effects of Topological Insulators in Quantizing Magnetic Fields

Cited by in corpus (39)

• Topological nodal semimetals
• Spintronics and Pseudospintronics in Graphene and Topological Insulators
• 3D quantum Hall effect of Fermi arcs in topological semimetals
• Transport in three-dimensional topological insulators: theory and experiment
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Spin-helical transport in normal and superconducting topological insulators
• Holey topological thermoelectrics
• Systematics of electronic and magnetic properties in the transition metal doped Sb${}_2$Te${}_3$ quantum anomalous Hall platform
• Electron-hole pairing in topological insulator thin film
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Edge states and integer quantum Hall effect in topological insulator thin films
• Quantum Hall Superfluids in Topological Insulator Thin Films
• Quantum Transport in Topological Semimetals under Magnetic Fields (II)
• Tunable Coupling between Surface States of a Three-Dimensional Topological Insulator in the Quantum Hall Regime
• Light-induced topological phases in thin films of magnetically doped topological insulators
• Quantum capacitance of an ultrathin topological insulator film in a magnetic field
• Effect of magnetic field on a magnetic topological insulator film with structural inversion asymmetry
• Optical responses and optical activity of ultrathin films of topological insulator
• Observation of chiral currents at the magnetic domain boundary of a topological insulator
• Electric coupling in scanning SQUID measurements
• Optical Conductivity of Topological Insulator Thin Films in a Quantizing Magnetic Field
• Quantum Hall Effect in Thin Films of Three-Dimensional Topological Insulators
• Thin films of a three-dimensional topological insulator in a strong magnetic field: a microscopic study
• Electron-Hole Asymmetry of Surface States in Topological Insulator Sb2Te3 Thin Films Revealed by Magneto-Infrared Spectroscopy
• Magneto-optical properties of topological insulator thin films with broken inversion symmetry
• Photoinduced electronic and spin properties of two-dimensional electron gases with Rashba spin-orbit coupling under perpendicular magnetic fields
• Theory for Cd${}_3$As${}_2$ thin films in the presence of magnetic fields
• Signatures of Rashba Spin-Orbit Interaction in Charge and Spin Properties of Quantum Hall Systems
• Thermoelectric properties of an ultra-thin topological insulator
• Topological phases due to the coexistence of superconductivity and spin-density wave: Application to high Tc superconductors in the underdoped regime
• Effect of Perturbative Hexagonal Warping on Quantum Capacitance in Ultra-Thin Topological Insulators
• Topological superconductivity in an ultrathin, magnetically-doped topological insulator proximity coupled to a conventional superconductor
• Quantum Capacitance of a Topological Insulator-Ferromagnet Interface
• Spin accumulation in disordered topological insulator thin films
• A toy model for quantum spin Hall effect
• Unconventional quantum Hall effect in Floquet topological insulators
• Particle-hole asymmetry and quantum confinement effects on the magneto-optical response of topological insulator thin-films
• Quasiparticle scattering in three-dimensional topological insulators near the thickness limit
• Hybridization and Field Driven Phase Transitions in Hexagonally Warped Topological Insulators