Universal Scaling of Quantum Anomalous Hall Plateau Transition

Abstract

We study the critical properties of the quantum anomalous Hall (QAH) plateau transition in magnetic topological insulators. We introduce a microscopic model for the plateau transition in QAH effect at the coercive field and then map it to the network model of quantum percolation in the integer quantum Hall effect plateau transition. Generally, an intermediate plateau with zero Hall conductance could occur at the coercive field. ${\sigma }_{xx}$ would have double peaks at the coercivity while ${\rho }_{xx}$ only has single peak. Remarkably, this theoretical prediction is already borne out in experiment. Universal scaling of the transport coefficients ${\rho }_{xy}$ and ${\rho }_{xx}$ are predicted.

8 pages, 4 figures. Published version

References in corpus (7)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect with Higher Plateaus
• Critical exponent for the quantum Hall transition
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• Topological quantum phase transition in magnetic topological insulator upon magnetization rotation
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