Large Chern-Number Quantum Anomalous Hall Effect from Canted Antiferromagnetic Order in $d$-Electron System on Kagome Lattice
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| Format: | Preprint |
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2025
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| _version_ | 1866915622070255616 |
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| author | Ahmed, Waquar Schaeffer, Steffen Lombardo, Pierre Hayn, Roland Makhfudz, Imam |
| author_facet | Ahmed, Waquar Schaeffer, Steffen Lombardo, Pierre Hayn, Roland Makhfudz, Imam |
| contents | Electrons of $d$-symmetry interacting with a localized non-collinear antiferromagnetic spin order on a kagome lattice are considered. Even in the absence of an external magnetic field, spin-orbit coupling or relativistic effects, the spin texture produces a non-trivial intrinsic Berry curvature. This opens the route for a quantum anomalous Hall effect in the $d$-system. For spin orders with an out-of-plane component, the scalar spin chirality is finite, and the integration of the Berry curvature over the Brillouin zone may yield integer Hall conductivities in units of $e^2/h$. This canted configuration gives rise to the maximal possible Chern number, $C=\pm 5$ when the Fermi level is within nontrivial gap. The effect is best understood for -- but not limited to -- isotropic $d$-electron hopping and degenerate $d$-levels. In this case, analytic expressions are available and point to a topological origin for the manifestation of the maximal $C$. Numerical calculations show that these findings are robust to some anisotropy in the hopping integrals and to moderate splittings of the $d$ levels. The $C=\pm 5$ plateau can be split into Chern peaks with smaller integers by varying the onsite energies. The topological phase transition between Hall plateaus of opposite $C$ can be driven by flipping the out-of-plane component of the spin order, alluding to the potential of this system to quantum information. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_10976 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large Chern-Number Quantum Anomalous Hall Effect from Canted Antiferromagnetic Order in $d$-Electron System on Kagome Lattice Ahmed, Waquar Schaeffer, Steffen Lombardo, Pierre Hayn, Roland Makhfudz, Imam Mesoscale and Nanoscale Physics Strongly Correlated Electrons Electrons of $d$-symmetry interacting with a localized non-collinear antiferromagnetic spin order on a kagome lattice are considered. Even in the absence of an external magnetic field, spin-orbit coupling or relativistic effects, the spin texture produces a non-trivial intrinsic Berry curvature. This opens the route for a quantum anomalous Hall effect in the $d$-system. For spin orders with an out-of-plane component, the scalar spin chirality is finite, and the integration of the Berry curvature over the Brillouin zone may yield integer Hall conductivities in units of $e^2/h$. This canted configuration gives rise to the maximal possible Chern number, $C=\pm 5$ when the Fermi level is within nontrivial gap. The effect is best understood for -- but not limited to -- isotropic $d$-electron hopping and degenerate $d$-levels. In this case, analytic expressions are available and point to a topological origin for the manifestation of the maximal $C$. Numerical calculations show that these findings are robust to some anisotropy in the hopping integrals and to moderate splittings of the $d$ levels. The $C=\pm 5$ plateau can be split into Chern peaks with smaller integers by varying the onsite energies. The topological phase transition between Hall plateaus of opposite $C$ can be driven by flipping the out-of-plane component of the spin order, alluding to the potential of this system to quantum information. |
| title | Large Chern-Number Quantum Anomalous Hall Effect from Canted Antiferromagnetic Order in $d$-Electron System on Kagome Lattice |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.10976 |