# Intrinsic and Extrinsic Anomalous Hall Effects in Disordered Magnetic Weyl Semimetal

@article{Kobayashi2022IntrinsicAE, title={Intrinsic and Extrinsic Anomalous Hall Effects in Disordered Magnetic Weyl Semimetal}, author={Koji Kobayashi and Kentaro Nomura}, journal={Journal of the Physical Society of Japan}, year={2022} }

We study the intrinsic and extrinsic Hall effects in disordered magnetic Weyl semimetals numerically. We show that in Weyl metals, where the Fermi energy deviates from the Weyl point, the Hall and longitudinal conductances exhibit a specific relation, which is distinguished from the well-known relation in integer quantum Hall systems. Around the Weyl point, the Hall conductance increases with increasing longitudinal conductance. This increasing behavior indicates the existence of additional…

## References

SHOWING 1-10 OF 34 REFERENCES

Anomalous Hall effect in Weyl metals.

- PhysicsPhysical review letters
- 2014

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.

Disorder Effect on Chiral Edge Modes and Anomalous Hall Conductance in Weyl Semimetals

- Physics
- 2016

Typical Weyl semimetals host chiral surface states and hence show an anomalous Hall response. Although a Weyl semimetal phase is known to be robust against weak disorder, the effect of disorder on…

Extrinsically vs. intrinsically driven spin Hall effect in disordered mesoscopic multiterminal bars

- Physics
- 2007

We show that pure spin Hall current, flowing out of a four-terminal two-dimensional electron gas (2DEG) within inversion asymmetric heterostructure, contains contributions from both the extrinsic…

Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates

- Physics
- 2011

There have been lots of interest in pyrochlore Iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent LDA calculation suggests that the system is likely…

Phase diagrams of disordered Weyl semimetals

- Physics
- 2016

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological…

Quantized Anomalous Hall Effect in Magnetic Topological Insulators

- PhysicsScience
- 2010

A realization of a quantum anomalous Hall system is proposed by magnetically doping thin films of three-dimensional topological insulators and calculating the effects of various dopants and film thicknesses, which are predicted to have long-range ferromagnetic order, potentially joining dilute magnetic semiconductors as candidates for spintronic applications.

Disorder and Metal-Insulator Transitions in Weyl Semimetals.

- PhysicsPhysical review letters
- 2015

The phase diagram is determined by numerically computing the localization length and the Hall conductivity, and it is proposed that the novel phase transitions can be realized on a photonic lattice.

Ballistic transport in disordered Dirac and Weyl semimetals

- Physics
- 2020

We study the dynamics of Dirac and Weyl electrons in disordered point-node semimetals. The ballistic feature of the transport is demonstrated by simulating the wave-packet dynamics on lattice models.…

Theory of Valley Hall Conductivity in Graphene with Gap

- Physics
- 2015

The valley Hall conductivity, having opposite signs between the K and K′ valleys, is calculated in disordered monolayer graphene with gap. In ideal graphene without disorder, it is quantized into…

Chiral anomaly and transport in Weyl metals.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2015

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, and a fully microscopic theory of diffusive magnetotransport in Weyl metals is developed.