# Magnus Hall Effect.

@article{Papaj2019MagnusHE, title={Magnus Hall Effect.}, author={Michał Papaj and Liang Fu}, journal={Physical review letters}, year={2019}, volume={123 21}, pages={ 216802 } }

A new type of a linear response Hall effect is predicted in time-reversal-invariant systems with a built-in electric field at zero magnetic field. The Hall response results from a quantum Magnus effect where a self-rotating Bloch electron wave packet moving under an electric field develops an anomalous velocity in the transverse direction. We show that in the ballistic limit the Magnus Hall conductance measures the distribution of the Berry curvature on the Fermi surface.

#### 15 Citations

Quantum theory of the nonlinear Hall effect

- Medicine, Physics
- Nature communications
- 2021

A quantum theory of the nonlinear Hall effect is constructed by using the diagrammatic technique and it is shown that the total non linear Hall conductivity is enhanced but its sign remains unchanged for the 2D tilted Dirac model, compared to the one with only the Berry curvature contribution. Expand

Magnus Hall Effect In Three-Dimensional Topological Semimetals

- Physics
- 2021

Magnus Hall effect (MHE) is a non-linear Hall effect requiring no external magnetic field, which can be observed when an in-built electric field couples to the Berry curvature of the material,… Expand

Electrons flow like falling cats: Deformations and emergent gravity in quantum transport

- Physics
- 2021

The effective low-energy excitations in a metallic or semimetallic crystalline system (i.e. electronic quasiparticles) always have a finite spatial extent. It is self-evident but virtually unexplored… Expand

Hall effects in artificially corrugated bilayer graphene without breaking time-reversal symmetry

- Physics
- 2021

Strain can be used to modify the band structure—and thus the electronic properties—of two-dimensional materials. However, research has focused on the use of monolayer graphene with a limited lowering… Expand

Tunable valley Hall effect in gate-defined graphene superlattices

- Physics
- Physical Review B
- 2019

We theoretically investigate gate-defined graphene superlattices with broken inversion symmetry as a platform for realizing tunable valley dependent transport. Our analysis is motivated by recent… Expand

Quantum geometry induced second harmonic generation

- Physics
- 2021

Pankaj Bhalla, 2, ∗ Kamal Das, † Dimitrie Culcer, 4, ‡ and Amit Agarwal § Beijing Computational Science Research Center, Beijing 100193, China ARC Centre of Excellence in Future Low-Energy… Expand

Electrical Control of the Valley Magnetic Domain and Anomalous Electron Transport in Bilayer
MoS2

- Physics
- 2021

In contrast to the valley-selective Berry curvatures of the conduction band of monolayer ${\mathrm{Mo}\mathrm{S}}_{2}$, bilayer (2L-) ${\mathrm{Mo}\mathrm{S}}_{2}$ (i.e., in 2H-phase) has vanishing… Expand

Nonlinear Hall Effects

- Physics
- 2021

Z. Z. Du, 2 Hai-Zhou Lu, 2, ∗ and X. C. Xie 4, 5 Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology (SUSTech), Shenzhen… Expand

Perspective: Nonlinear Hall Effects

- 2021

Z. Z. Du, 2 Hai-Zhou Lu, 2, ∗ and X. C. Xie 4, 5 Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology (SUSTech), Shenzhen… Expand

Topological Magnus responses in two- and three-dimensional systems

- Physics
- Physical Review B
- 2021

Recently, time-reversal symmetric but inversion broken systems with non-trivial Berry curvature in the presence of a built-in electric field have been proposed to exhibit a new type of linear Hall… Expand

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