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

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 dichalc...

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Published in:arXiv.org
Main Authors: Malla, Rajesh K, Saxena, Avadh, Kort-Kamp, Wilton J M
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 13.10.2021
Subjects:
Broken symmetry
Couplings
Electromagnetic fields
Electromagnetism
Energy bands
Energy gap
Hall effect
Magnetism
Metalloids
Phase transitions
Topological insulators
ISSN:2331-8422
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Abstract 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 propose a mechanism for generating such a second order nonlinear Hall effect in Kane-Mele two-dimensional topological insulators due to spatial and time reversal symmetry breaking in the presence of Zeeman and Rashba couplings. By actively tuning the energy gaps with external electromagnetic fields we also demonstrate that the nonlinear Hall effect shows remarkable signatures of topological phase transitions existing in the considered two-dimensional systems.
AbstractList 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 propose a mechanism for generating such a second order nonlinear Hall effect in Kane-Mele two-dimensional topological insulators due to spatial and time reversal symmetry breaking in the presence of Zeeman and Rashba couplings. By actively tuning the energy gaps with external electromagnetic fields we also demonstrate that the nonlinear Hall effect shows remarkable signatures of topological phase transitions existing in the considered two-dimensional systems.
Author Saxena, Avadh
Malla, Rajesh K
Kort-Kamp, Wilton J M
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SubjectTerms Broken symmetry
Couplings
Electromagnetic fields
Electromagnetism
Energy bands
Energy gap
Hall effect
Magnetism
Metalloids
Phase transitions
Topological insulators
Title Emerging nonlinear Hall effect in Kane-Mele two-dimensional topological insulators
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