Orbital magnetization and anomalous Hall effect in interacting Weyl semimetals

@article{Acheche2019OrbitalMA,
  title={Orbital magnetization and anomalous Hall effect in interacting Weyl semimetals},
  author={Shaheen Acheche and Reza Nourafkan and A.-M. S. Tremblay},
  journal={Physical Review B},
  year={2019}
}
Ferromagnetic Weyl semi-metals exhibit an anomalous Hall effect, a consequence of their topological properties. In the non-interacting case, the derivative of the orbital magnetization with respect to chemical potential is proportional to this anomalous Hall effect, the Str$\check{\text{e}}$da formula. Motivated by compounds such as $\text{Mn}_3\text{Sn}$, here we investigate how interactions modeled by a Hubbard $U$ impact on both quantities when the Fermi energy is either aligned with the… 

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References

SHOWING 1-10 OF 53 REFERENCES
Evidence for magnetic Weyl fermions in a correlated metal.
TLDR
Experimental evidence is reported for magnetic Weyl fermions in Mn3Sn, a non-collinear antiferromagnet that exhibits a large anomalous Hall effect, even at room temperature, and lays the foundation for a new field of science and technology involving the magnetic Wey excitations of strongly correlated electron systems such as Mn3 Sn.
Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
TLDR
Large intrinsic AHE with linear dependence on magnetization in a half-metallic ferromagnet Co3Sn2S2 single crystal with Kagome lattice of Co atoms, arising dominantly from the Weyl fermions is reported.
Orbital magnetization of correlated electrons with arbitrary band topology
Spin-orbit coupling introduces chirality into electronic structure. This can have profound effects on the magnetization induced by orbital motion of electrons. Here we derive a formula for the
Interacting Weyl fermions: Phases, phase transitions, and global phase diagram
We study the effects of short-range interactions on a generalized three-dimensional Weyl semimetal, where the band touching points act as the (anti)monopoles of Abelian Berry curvature of strength
Orbital magnetism in coupled-bands models
We develop a gauge-independent perturbation theory for the grand potential of itinerant electrons in two-dimensional tight-binding models in the presence of a perpendicular magnetic field. At first
Chern semimetal and the quantized anomalous Hall effect in HgCr2Se4.
TLDR
It is predicted, based on first principles calculations, that such a novel quantum state can be realized in a known ferromagnetic compound HgCr2Se4, with a single pair of Weyl fermions separated in momentum space.
Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown.
TLDR
This work derives a simple criterion to identify and characterize WSMs in an interacting setting using the exact electronic Green's function at zero frequency, which defines a topological Bloch Hamiltonian and introduces a WSM-like phase for which this criterion breaks down due to fractionalization.
Anomalous Hall effect in Weyl metals.
TLDR
The AHE in a Weyl metal is shown to be a purely intrinsic, universal property, fully determined by the location of the Weyl nodes in the first Brillouin zone.
Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature
In ferromagnetic conductors, an electric current may induce a transverse voltage drop in zero applied magnetic field: this anomalous Hall effect is observed to be proportional to magnetization, and
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