Corpus ID: 198898796

Non-Abelian Reciprocal Braiding of Weyl Nodes

  title={Non-Abelian Reciprocal Braiding of Weyl Nodes},
  author={Adrien Bouhon and Robert-Jan Slager and Tom'avs Bzduvsek},
  journal={arXiv: Mesoscale and Nanoscale Physics},
We illustrate a procedure that defines and converts non-Abelian charges of Weyl nodes via braid phase factors, which arise upon exchange inside the reciprocal momentum space. This phenomenon derives from intrinsic symmetry properties of topological materials, which are increasingly becoming available due to recent cataloguing insights. Specifically, we demonstrate that band nodes in systems with $C_2T$ symmetry exhibit such braiding properties, requiring no particular fine-tuning. We further… Expand

Figures and Tables from this paper

Ferroelectric nonlinear anomalous Hall effect in few-layer WTe2
Under broken time reversal symmetry such as in the presence of external magnetic field or internal magnetization, a transverse voltage can be established in materials perpendicular to bothExpand
Non-Abelian band topology in noninteracting metals
Non-Abelian topological charges that characterize line nodes inside the momentum space of crystalline metals with space-time inversion and weak spin-orbit coupling are introduced and it is shown that these are quaternion charges, similar to those describing disclinations in biaxial nematics. Expand


Journal of Physics and Chemistry of Solids
We discuss evolution of the Fermi surface (FS) topology with doping in electron-doped cuprates within the framework of a one-band Hubbard Hamiltonian, where antiferromagnetism and superconductivityExpand
Vector Bundles and K-Theory
In Chapter 4 we defined the notion of a fibre bundle (a locally trivial fibration); in this chapter we consider an important class of fibre bundles—those for which every fibre has the structure of aExpand
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
• Use a scale or scale factor to find a measurement. • Find actual lengths and areas from a scale drawing, using a scale factor. • Create multiple scale drawings from the original model or drawing,Expand
The novel JEV RT-NASBA assay could be used as an efficient molecular biology tool to diagnose JEV, which would facilitate the surveillance of reproductive failure disease in swine and would be beneficial for public health security. Expand
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixedExpand
  • Rev. X 9, 021013
  • 2019
and T
  • Bzdušek, ArXiv e-prints
  • 2018
  • Rev. Lett. 121, 106403
  • 2018
  • H. Reid, et al., Nature 565, 61
  • 2019