Current scaling of the topological quantum phase transition between a quantum anomalous Hall insulator and a trivial insulator

Abstract

We report a current scaling study of a quantum phase transition between a quantum anomalous Hall insulator and a trivial insulator on the surface of a heterostructure film of magnetic topological insulators. The transition was observed by tilting the magnetization while measuring the Hall conductivity ${\sigma }_{xy}$. The transition curves of ${\sigma }_{xy}$ taken under various excitation currents cross each other at a single point, exemplifying a quantum critical behavior of the transition. The slopes of the transition curves follow a power law dependence of the excitation current, giving a scaling exponent. Combining with the result of the previous temperature scaling study, critical exponents $\nu$ for the localization length and $p$ for the coherence length are separately evaluated as $\nu$ = 2.8 $\pm$ 0.3 and $p$ = 3.3 $\pm$ 0.3.

arXiv comment6 pages, 4 figures

References in corpus (31)

• Topological Insulators
• Topological insulators and superconductors
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Topological Materials: Weyl Semimetals
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
• Continuous Quantum Phase Transitions
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator
• Scaling Theory of the Integer Quantum Hall Effect
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Magnetic modulation doping in topological insulators toward higher-temperature quantum anomalous Hall effect
• Imaging Dirac-Mass Disorder from Magnetic Dopant-Atoms in the Ferromagnetic Topological Insulator Cr${}_x$(Bi${}_{0.1}$Sb${}_{0.9}$)${}_{2-x}$Te${}_3$
• Large Unidirectional Magnetoresistance in a Magnetic Topological Insulator
• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Metal-to-Insulator Switching in Quantum Anomalous Hall States
• Critical exponent for the quantum Hall transition
• Universal Scaling of Quantum Anomalous Hall Plateau Transition
• Observation of the zero Hall plateau in a quantum anomalous Hall insulator
• Quantum anomalous Hall effect in magnetic topological insulators
• Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics
• The Quantized Hall Insulator: A New Insulator in Two-Dimensions
• Observation of the quantum-anomalous-Hall insulator to Anderson insulator quantum phase transition and its scaling behavior
• Enhanced electron dephasing in three-dimensional topological insulators
• Current-driven instability of quantum anomalous Hall effect in ferromagnetic topological insulators
• Effects of random domains on the zero Hall plateau in quantum anomalous Hall effect
• Topological quantum phase transition in magnetic topological insulator upon magnetization rotation

Cited by in corpus (6)

• Colloquium: Quantum anomalous Hall effect
• Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition
• Quantum Hall criticality in an amorphous Chern insulator
• Effects of GaAs buffer layer on quantum anomalous Hall insulator Vy(BixSb1-x)2-yTe3
• Robust quantum anomalous Hall effect with spatially uncorrelated disorder
• Interlayer Exchange Coupling-Induced Critical-Metal-to-Insulator Phase Transition in Quantum Anomalous Hall Insulators