Emerging nonlinear Hall effect in Kane-Mele two-dimensional topological insulators

@article{Malla2021EmergingNH,
  title={Emerging nonlinear Hall effect in Kane-Mele two-dimensional topological insulators},
  author={Rajesh K. Malla and Avadh B Saxena and Wilton J. M. Kort-Kamp},
  journal={Physical Review B},
  year={2021}
}
The recent observations of nonlinear Hall effect in time-reversal symmetry protected systems and on the surface of three-dimensional topological insulators due to an in-plane magnetic field have attracted immense experimental and theoretical investigations in two-dimensional transition metal dichalcogenides and Weyl semimetals. The origin of this type of second order effect has been attributed to the emergence of a Berry curvature dipole, which requires a low-symmetry environment. Here, we… 

Figures from this paper

References

SHOWING 1-10 OF 30 REFERENCES
Electrically tuneable nonlinear anomalous Hall effect in two-dimensional transition-metal dichalcogenides WTe 2 and MoTe 2
We studied the nonlinear electric response in WTe2 and MoTe2 monolayers. When the inversion symmetry is breaking but the the time-reversal symmetry is preserved, a second-order Hall effect called the
Nonlinear Hall Effect with Time‐Reversal Symmetry: Theory and Material Realizations
  • C. Ortix
  • Physics
    Advanced Quantum Technologies
  • 2021
The appearance of a Hall conductance necessarily requires breaking of time-reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. However, as a second
Disorder-induced nonlinear Hall effect with time-reversal symmetry
TLDR
The formulas of the nonlinear Hall conductivity are derived and the general scaling law of thenonlinear Hall effect is constructed in a tilted two dimensional Dirac model to help in experiments to distinguish disorder-induced contributions to the non linear Hall effect.
Relative abundance of Z2 topological order in exfoliable two-dimensional insulators.
TLDR
Using density-functional and many-body perturbation theory simulations, this work identifies 13 monolayers that are candidates for quantum spin Hall insulators, including high-performing materials such as AsCuLi2 and (platinum) jacutingaite (Pt2HgSe3).
Nonlinear dynamics of topological Dirac fermions in 2D spin-orbit coupled materials
TLDR
The dynamics of spin-orbit coupled graphene family materials are investigated to unveil topological phase transition fingerprints embedded in the nonlinear regime and it is shown that the resonant nonlinear spectral response of topological fermions can be traced to specific Dirac cones in these materials.
Quantum theory of the nonlinear Hall effect
TLDR
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.
Berry curvature induced nonlinear magnetoresistivity in two dimensional systems
We investigate the effect of band geometric quantities on nonlinear magnetoresistivity, which dictates the quadratic dependence of the nonlinear voltage generated by the applied current. We propose
Observation of the nonlinear Hall effect under time-reversal-symmetric conditions
TLDR
The nonlinear Hall effect is observed in bilayer WTe2 in the absence of a magnetic field, providing a direct measure of the dipole moment of the Berry curvature, which arises from layer-polarized Dirac fermions in bilayers WTe 2 under time-reversal-symmetric conditions.
Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe2
Recent experimental evidence for the quantum spin Hall (QSH) state in monolayer WTe2 has linked the fields of two-dimensional materials and topological physics1–7. This two-dimensional topological
Quantum spin Hall effect in two-dimensional transition metal dichalcogenides
TLDR
The researchers used first-principles calculations and found that certain structures of these materials may also exhibit the so-called spin Hall effect, which represents an exotic state of matter in which a 2D material conducts electricity along its edge in a way that drastically reduces dissipation.
...
1
2
3
...