Topological response theory of doped topological insulators

Abstract

We generalize the topological response theory of three-dimensional topological insulators (TI) to metallic systems-specifically, doped TI with finite bulk carrier density and a time-reversal symmetry breaking field near the surface. We show that there is an inhomogeneity-induced Berry phase contribution to the surface Hall conductivity that is completely determined by the occupied states and is independent of other details such as band dispersion and impurities. In the limit of zero bulk carrier density, this intrinsic surface Hall conductivity reduces to the half-integer quantized surface Hall conductivity of TI. Based on our theory we predict the behavior of the surface Hall conductivity for a doped topological insulator with a top gate, which can be directly compared with experiments.

15 pages (4 + Refs + Supplementary Material), 5 figures . V2 includes substantial changes, including more experimentally relevant modeling of effect of top gate on surface Hall conductance of doped TI

References in corpus (13)

• Topological Insulators
• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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
• Topological Field Theory of Time-Reversal Invariant Insulators
• The quantum spin Hall effect and topological insulators
• Model Hamiltonian for Topological Insulators
• Bulk Fermi surface coexistence with Dirac surface state in Bi${}_2$Se${}_3$: a comparison of photoemission and Shubnikov-de Haas measurements
• On the $Z_2$ classification of Quantum Spin Hall Models
• Bulk metals with helical surface states
• Axion response in gapless systems

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• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
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• Local invariants identify topology in metals and gapless systems
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Adiabatically Induced Orbital Magnetization
• Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Finite frequency magnetoelectric response of three dimensional Topological Insulators
• Effects of surface-bulk hybridization in 3D topological `metals'
• Robust Transport of the Edge Modes along the Photonic Topological Interfaces of Different Configurations
• Disordered topological metals
• Transport through a disordered topological-metal strip
• Enhanced left/right asymmetry in reflection and transmission due to a periodic multilayer of a topological insulator and an anisotropic dielectric material
• Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach
• A thermodynamic measure of the Magneto-electric coupling in the 3D topological insulator