Coexisting of Quantum Hall and Quantum Anomalous Hall phases in Disordered $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$

Abstract

In most cases, to observe quantized Hall plateaux, an external magnetic field is applied in intrinsic magnetic topological insulators $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$. Nevertheless, whether the nonzero Chern number ($C\ne 0$) phase is a quantum anomalous Hall (QAH) state, or a quantum Hall (QH) state, or a mixing state of both is still a puzzle, especially for the recently observed $C=2$ phase [Deng \textit{et al}., Science \textbf{367}, 895 (2020)]. In this Letter, we propose a physical picture based on the Anderson localization to understand the observed Hall plateaux in disordered $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$. Rather good consistency between the experimental and numerical results confirms that the bulk states are localized in the absence of a magnetic field and a QAH edge state emerges with $C=1$. However, under a strong magnetic field, the lowest Landau band formed with the localized bulk states, survives disorder, together with the QAH edge state, leading to a $C=2$ phase. Eventually, we present a phase diagram of a disordered $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$ which indicates more coexistence states of QAH and QH to be verified by future experiments.

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• Colloquium: Quantum anomalous Hall effect
• Electric control of a canted-antiferromagnetic Chern insulator
• Distinct magnetic gaps between antiferromagnetic and ferromagnetic orders driven by surface defects in the topological magnet MnBi2Te4
• Confinement-Induced Chiral Edge Channel Interaction in Quantum Anomalous Hall Insulators
• The elusive quantum anomalous Hall effect in MnBi2Te4: a materials perspective
• Quasi-one-dimensional spin transport in altermagnetic $Z^3$ nodal net metals
• Three-Dirac-fermion approach to unexpected universal gapless surface states of van der Waals magnetic topological insulators
• Magnetic topological transistor exploiting layer-selective transport
• From topological phase to Anderson localization in a two-dimensional quasiperiodic system
• Facet dependent surface energy gap on magnetic topological insulators
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Correlation between magnetic domain structures and quantum anomalous Hall effect in epitaxial MnBi2Te4 thin films
• Disorder-Induced Phase Transitions in Three-Dimensional Chiral Second-Order Topological Insulator
• Symmetry-driven anisotropic coupling effect in antiferromagnetic topological insulator: Mechanism for high-Chern-number quantum anomalous Hall state
• Tailoring Neel orders in Layered Topological Antiferromagnets
• Electrically tunable high-Chern-number quasiflat bands in twisted antiferromagnetic topological insulators
• Direct visualization of edge state in even-layer MnBi2Te4 at zero magnetic field
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Vapor transport growth of MnBi2Te4 and related compounds