Roy, S and Narayan, A (2022) Non-linear Hall effect in multi-Weyl semimetals. In: Journal of Physics Condensed Matter, 34 (38).
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Abstract
In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate the Berry curvature induced second and third order Hall effect in multi-Weyl semimetals with topological charges n=1,2,3 . We use low energy effective models to obtain general analytical expressions and discover the presence of a large Berry curvature dipole (BCD) in multi-Weyl semimetals, compared to usual (n = 1) Weyl semimetals. We also study the BCD in a realistic tight-binding lattice model and observe two different kinds of variation with increasing topological charge - these can be attributed to different underlying Berry curvature components. We provide estimates of the signatures of second harmonic of Hall signal in multi-Weyl semimetals, which can be detected experimentally. Furthermore, we predict the existence of a third order Hall signal in multi-Weyl semimetals. We derive the analytical expressions of Berry connection polarizability tensor, which is responsible for third order effects, using a low energy model and estimate the measurable conductivity. Our work can help guide experimental discovery of Berry curvature multipole physics in multi-Weyl semimetals.
| Item Type: | Journal Article |
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| Publication: | Journal of Physics Condensed Matter |
| Publisher: | Institute of Physics |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Fruits; Hall effect; Polarization, Berry connection polarizability; Berry curvature dipole; Berry curvature multipole; Hall signal; Multi-weyl semimetal; Multipoles; Non linear; Polarizabilities; Third order; Topological charges, Topology, article; berry; case report; clinical article; conductance; dipole; physics |
| Department/Centre: | Division of Chemical Sciences > Solid State & Structural Chemistry Unit UG Programme |
| Date Deposited: | 16 Sep 2022 06:19 |
| Last Modified: | 16 Sep 2022 06:19 |
| URI: | https://eprints.iisc.ac.in/id/eprint/76529 |
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