Transport Theory of Half-quantized Hall Conductance in a Semi-magnetic Topological Insulator

Abstract

Recently,a half-quantized Hall conductance (HQHC) plateau is experimentally observed in a semi-magnetic topological insulator heterostructure. However,the heterostructure is metallic with a nonzero longitudinal conductance, which contradicts the common belief that quantized Hall conductance is usually observed in insulators.In this work,we systematically study the surface transport of the semi-magnetic topological insulator with both gapped and gapless Dirac surfaces in the presence of dephasing process.In particular, we reveal that the HQHC is directly related to the half-quantized chiral current along the edge of a strongly dephasing metal. The Hall conductance keeps a half-quantized value for large dephasing strengths, while the longitudinal conductance varies with Fermi energies and dephasing strengths. Furthermore, we evaluate both the conductance and resistance as a function of the temperature, which is consistent with the experimental results.Our results not only provide the microscopic transport mechanism of the HQHC,but also are instructive for the probe of the HQHC in future experiments.

10 pages, 7 figures

References in corpus (10)

• The electronic properties of graphene
• Topological Insulators with Inversion Symmetry
• Topological Field Theory of Time-Reversal Invariant Insulators
• Anomalous Hall Effect in Weyl Metals
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Robustness of the Spin-Chern number
• Non-equilibrium Green s function based model for dephasing in quantum transport
• Experimental signature of parity anomaly in semi-magnetic topological insulator
• Influence of dephasing process on the quantum Hall effect and the spin Hall effect
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface

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• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Signature of Parity Anomaly: Crossover from One Half to Integer Quantized Hall Conductance in a Finite Magnetic Field
• Quarter-quantized thermal Hall effect with parity anomaly
• Quantum Anomalous Hall Effect in Ferromagnetic Metals
• On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films
• Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
• Chiral edge mode for single-cone Dirac fermions
• Evidence for Half-Quantized Chiral Edge Current in a C = 1/2 Parity Anomaly State
• The One-dimensional Chiral Anomaly and its Disorder Response
• Direct visualization of edge state in even-layer MnBi2Te4 at zero magnetic field
• Quantum anomalous Hall effect in chiral semimetals