Anomalous Hall effect in disordered Weyl semimetals

التفاصيل البيبلوغرافية
العنوان: Anomalous Hall effect in disordered Weyl semimetals
المؤلفون: Messica, Yonatan, Gutman, Dmitri. B., Ostrovsky, Pavel M.
المصدر: Physical Review B.108.045121 (2023)
سنة النشر: 2022
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Disordered Systems and Neural Networks
الوصف: We study the anomalous Hall effect in a disordered Weyl semimetal. While the intrinsic contribution is expressed solely in terms of Berry curvature, the extrinsic contribution is given by a combination of the skew scattering and side jump terms. For the model of small size impurities, we are able to express the skew scattering contribution in terms of scattering phase shifts. We identify the regime in which the skew scattering contribution dominates the side-jump contribution: the impurities are either strong or resonant, and at dilute concentration. In this regime, the Hall resistivity $\rho_{xy}$ is expressed in terms of two scattering phases, analogous to the s-wave scattering phase in a non-topological metal. We compute the dependence of $\rho_{xy}$ on the chemical potential, and show that $\rho_{xy}$ scales with temperature as $T^2$ in low temperatures and as $T^{3/2}$ in the high temperature limit.
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevB.108.045121
URL الوصول: http://arxiv.org/abs/2211.03185
رقم الأكسشن: edsarx.2211.03185
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevB.108.045121