Supplementary Data for “Non-Abelian band topology in noninteracting metals”

Authors: QuanSheng Wu1*, Alexey A. Soluyanov2, Tomáš Bzdušek3*

  1. Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland and National Centre for Computational Design and Discovery of Novel Materials MARVEL, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
  2. Physik-Institut, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland and Department of Physics, St. Petersburg State University, St. Petersburg, 199034 Russia
  3. Department of Physics, McCullough Building, Stanford University, Stanford, CA 94305, USA and Stanford Center for Topological Quantum Physics, Stanford University, Stanford, CA 94305, USA
  • Corresponding authors emails: quansheng.wu@epfl.ch, bzdusek@stanford.edu

DOI10.24435/materialscloud:2019.0040/v1 (version v1, submitted on 09 August 2019)

How to cite this entry

QuanSheng Wu, Alexey A. Soluyanov, Tomáš Bzdušek, Supplementary Data for “Non-Abelian band topology in noninteracting metals”, Materials Cloud Archive (2019), doi: 10.24435/materialscloud:2019.0040/v1.

Description

Electron energy bands, which are studied to explain electronic and optical properties of crystalline solids, often exhibit degeneracies called band-structure nodes. Here, we introduce non-Abelian topological charges that characterize line nodes inside the momentum space of -symmetric crystalline metals with weak spin-orbit coupling. We show that these are quaternion charges, similar to those describing disclinations in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of and mirror symmetries, which allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal line configurations. Our analysis goes beyond the standard approach to band topology and implies the existence of 1D topological phases not present in existing classifications.

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Files

File name Size Description
Data-materialscloud-arxiv-1808.07469.tar.gz
MD5MD5: 016bc25ab0f6dcff8373495b523434ee
48.1 MiB This file contains necessary scripts and data to generate the figures both in the main text and the supplementary materials for
paper "Non-Abelian band topology in noninteracting metals, QuanSheng Wu, Alexey A. Soluyanov, Tomáš Bzdušek"

The data includes
1. The input files for VASP which is a software to do first-principle calculations.
2. The input files for Wannier90 which is an open-source software to generate the Wannier tight-binding model.
3. The input files for WannierTools which is an open-source software to analyze the topological properties of Sc.
4. Some necessary model data to generate the relevant figures.

License

Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.

External references

Preprint (Paper where the data is discussed.)

Keywords

MARVEL Topological materials VASP WannierTools Non-Abelian Band topology Wannier90 Model hamiltonian PT symmetric crystalline metals Weak spin-orbit coupling

Version history

09 August 2019 [This version]