Workshop 2025: Velocity operator renormalization in a s-3/2 Weyl Hamiltonian framework

Session Information

Location: Lecture room F3213 - 02
Day: Wednesday, 14 May
Time: 18:00 - 19:00
Chairperson: -

Presentation Details

Presentation Type: Poster presentation (Training School only)
Title: Velocity operator renormalization in a s-3/2 Weyl Hamiltonian framework
Abstract: We investigate nonlinear transport [1,2] in three-dimensional materials hosting Weyl nodes—linear band touchings that act as point-like sources and sinks of Berry curvature in momentum space, often referred to as “Weyl-Berry monopoles” [3,4]. These nodes feature higher-than-two-fold band degeneracies and carry nonzero Chern numbers, leading to unconventional electronic properties. Using a semiclassical approach with perturbative corrections [5,6], we achieve a renormalized velocity operator that incorporates higher-order contributions determined by the quantum geometric tensor, enabling a detailed analysis of nonlinear charge conductivity.

References
[1] H. Rostami & M. Polini, Physical Review B 97, 195151 (2018)
[2] J.E. Sipe & A. I. Shkrebtii, Phys. Rev. B 61, 533 (2000)
[3] B. Yan & C. Felser, Annu. Rev. Condens. Matter Phys. 8, 337 (2017) [4] N.P. Armitage et al., Rev. Mod. Phys. 90, 015001 (2018)
[5] D. Kaplan et al., Phys. Rev. Lett. 132, 026301 (2024) [6] T. Liu et al., arXiv:2409.13408v1

Presenter

Mr Ricardo Barbosa
Max Planck Institute of Microstructure Physics | Germany

Authors

1. R. M. S. Barbosa | Max Planck Institute of Microstructure Physics, Weinberg 2, 06120 Halle (Saale), Germany
2. S. S. P. Parkin | Max Planck Institute of Microstructure Physics, Weinberg 2, 06120 Halle (Saale), Germany
3. A. Johansson | Max Planck Institute of Microstructure Physics, Weinberg 2, 06120 Halle (Saale), Germany