Flux state and anomalous quantum Hall effect in square Kondo lattice

Abstract

The anomalous Hall effect (AHE) around the flux state in square Kondo lattice is investigated. By introducing the lattice distortion and local chirality, the square Kondo lattice can break the parity symmetry and time reversal symmetry spontaneously, and thus generate a topological nontriviality in the band structure associated with the AHE. Moreover, a possible realization of this AHE in multiferroic TbMnO${}_3$ is discussed.

5 pages, 3 figures

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Cited by in corpus (9)

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• Narrowing of topological bands due to electronic orbital degrees of freedom
• Topological magnetic phase in LaMnO${}_3$ (111) bilayer
• Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
• Quantum anomalous Hall phase in (001) double-perovskite monolayers via intersite spin-orbit coupling
• Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice
• Noncollinear and noncoplanar magnetic order in the extended Hubbard model on anisotropic triangular lattice
• Canted Magnetic Ground State of Quarter-Doped Manganites $R_{0.75}$Ca${}_{0.25}$MnO${}_3$ ($R$ = Y, Tb, Dy, Ho, and Er)
• The role of magnetic excitations in magnetoresistance and Hall effect of slightly TM-substituted BaFe${}_2$As${}_2$ compounds (TM = Mn, Cu, Ni)