Fate of quantum anomalous Hall effect in the presence of external magnetic fields and particle-hole asymmetry

Böttcher, J.; Tutschku, Christian; Hankiewicz, Ewelina M.

doi:10.1103/physrevb.101.195433

Cited by 18 publications

(14 citation statements)

References 42 publications

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“…A similar dependence of the anomalous Hall conductance on the magnetic field was predicted in Ref. 15.…”

Section: Resultssupporting

confidence: 86%

“…Obviously, expression (45) as a function of E F vanishes inside the gap of the one-electron energy spectrum. Thus, the quantization of the σ int H = σ Ib a H + σ II a H (39), ( 45) survives when an external magnetic field is turned on that is consistent with recent results by Böttcher et al 14,15 . The results of numerical analysis of σ int H are represented in Fig.…”

Section: B Bare Bubble Part Of the Anomalous Hall Conductancesupporting

confidence: 89%

“…The intrinsic anomalous Hall conductance calculated below satisfies the relation ( 34) not only in the QAHE regime 14,15 , but also outside it.…”

Section: Intrinsic Anomalous Hall Conductance In Scbamentioning

confidence: 52%

“…As can be seen from this figure, the energy gap between valence and conductivity bands narrows as γ 0 increases. Now, we consider the calculation of the electron selfenergies (9) and DOSs (15) in the case of B = 0. The spectrum of Hamiltonian H 0 (12) consists of two unbounded from above sets of the equidistant Landau levels E n = ω c (n + 1/2 ± 1/2), where n = 0, 1, 2, .…”

Section: One-electron Green's Function and Densities Of Statesmentioning

confidence: 99%

“…The fundamental problem of the influence of an external magnetic field on the QAHE was investigated by Böttcher et al 14,15 . Using the effective field theory, the authors of these works showed that quantization of the anomalous Hall conductance σ a H survives in an external orthogonal magnetic field and can be distinguished from the quantization of normal Hall conductance due to its parity σ a H (B) = σ a H (−B).…”

Section: Introductionmentioning

confidence: 99%

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Quantization of the anomalous Hall conductance in a disordered magnetic Chern insulator

Novokshonov

2019

J. Phys.: Conf. Ser.

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The robustness of the anomalous Hall conductance, σ yx = σ H , quantization in the model of a two-dimensional disordered gas of massive Dirac electrons subjected to an external orthogonal magnetic field is investigated in the framework of Kubo-Středa formalism. Using the momentum representation for the averaged one-electron Green functions in a magnetic field, an explicit analytical expression for the Středa term of σ H is obtained. It is shown that this term is proportional to the topological Chern number, Ch = ±1/2, if the Fermi level is in the energy gap. In this case, the total σ H takes the half-integer quantized value, σ H = ±e 2 /4π ,that does not depend on either the magnitude of the disorder or the strength of the external magnetic field. As an example, we calculated the densities of states and intrinsic anomalous Hall conductance, σ int H , of a two-dimensional disordered gas of massive Dirac electrons subjected to an external magnetic field in the self-consistent Born approximation. A numerical analysis of the field and energy dependencies of these expressions is carried out for various values of the parameters of the model under consideration. In particular, the results of this analysis show that the Středa term of σ H is susceptible to disorder in a sufficiently wide vicinity of the point of transition to the quantization regime.

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“…A similar dependence of the anomalous Hall conductance on the magnetic field was predicted in Ref. 15.…”

Section: Resultssupporting

confidence: 86%

Section: B Bare Bubble Part Of the Anomalous Hall Conductancesupporting

confidence: 89%

“…The intrinsic anomalous Hall conductance calculated below satisfies the relation ( 34) not only in the QAHE regime 14,15 , but also outside it.…”

Section: Intrinsic Anomalous Hall Conductance In Scbamentioning

confidence: 52%

Section: One-electron Green's Function and Densities Of Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantization of the anomalous Hall conductance in a disordered magnetic Chern insulator

Novokshonov

2019

J. Phys.: Conf. Ser.

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Spectral Asymmetry Induces a Re‐Entrant Quantum Hall Effect in a Topological Insulator

Wang,

Beugeling,

Schmitt

et al. 2024

Advanced Science

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The band inversion of topological materials in three spatial dimensions is intimately connected to the parity anomaly of 2D massless Dirac fermions, known from quantum field theory. At finite magnetic fields, the parity anomaly reveals itself as a non‐zero spectral asymmetry, i.e., an imbalance between the number of conduction and valence band Landau levels, due to the unpaired zero Landau level. This work reports the realization of this 2D Dirac physics at a single surface of the 3D topological insulator (Hg,Mn)Te. An unconventional re‐entrant sequence of quantized Hall plateaus in the measured Hall resistance can be directly related to the occurrence of spectral asymmetry in a single topological surface state. The effect should be observable in any topological insulator where the transport is dominated by a single Dirac surface state.

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Magnetic-field-induced robust zero Hall plateau state in MnBi2Te4 Chern insulator

et al. 2021

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The intrinsic antiferromagnetic topological insulator MnBi2Te4 provides an ideal platform for exploring exotic topological quantum phenomena. Recently, the Chern insulator and axion insulator phases have been realized in few-layer MnBi2Te4 devices at low magnetic field regime. However, the fate of MnBi2Te4 in high magnetic field has never been explored in experiment. In this work, we report transport studies of exfoliated MnBi2Te4 flakes in pulsed magnetic fields up to 61.5 T. In the high-field limit, the Chern insulator phase with Chern number C = −1 evolves into a robust zero Hall resistance plateau state. Nonlocal transport measurements and theoretical calculations demonstrate that the charge transport in the zero Hall plateau state is conducted by two counter-propagating edge states that arise from the combined effects of Landau levels and large Zeeman effect in strong magnetic fields. Our result demonstrates the intricate interplay among intrinsic magnetic order, external magnetic field, and nontrivial band topology in MnBi2Te4.

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Fate of quantum anomalous Hall effect in the presence of external magnetic fields and particle-hole asymmetry

Cited by 18 publications

References 42 publications

Quantization of the anomalous Hall conductance in a disordered magnetic Chern insulator

Quantization of the anomalous Hall conductance in a disordered magnetic Chern insulator

Spectral Asymmetry Induces a Re‐Entrant Quantum Hall Effect in a Topological Insulator

Magnetic-field-induced robust zero Hall plateau state in MnBi2Te4 Chern insulator

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