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

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{
  "metadata": {
    "is_last": true, 
    "version": 1, 
    "title": "Supplementary Data for \u201cNon-Abelian band topology in noninteracting metals\u201d", 
    "keywords": [
      "MARVEL", 
      "Topological materials", 
      "VASP", 
      "WannierTools", 
      "Non-Abelian", 
      "Band topology ", 
      "Wannier90", 
      "Model hamiltonian", 
      "PT symmetric crystalline metals", 
      "Weak spin-orbit coupling"
    ], 
    "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.  ", 
    "license": "Creative Commons Attribution 4.0 International", 
    "references": [
      {
        "url": "https://arxiv.org/abs/1808.07469", 
        "type": "Preprint", 
        "citation": "QuanSheng Wu, Alexey A. Soluyanov, Tom\u00e1\u0161 Bzdu\u0161ek, arxiv: 1808.07469 (2018)", 
        "comment": "Paper where the data is discussed.", 
        "doi": ""
      }, 
      {
        "url": "https://www.sciencemag.org/lookup/doi/10.1126/science.aau8740", 
        "type": "Journal reference", 
        "citation": "QuanSheng Wu, Alexey A. Soluyanov, Tom\u00e1\u0161 Bzdu\u0161ek, Non-Abelian band topology in noninteracting metals. Science 365, 1273\u20131277 (2019)", 
        "comment": "Paper in which the data is described", 
        "doi": "10.1126/science.aau8740"
      }
    ], 
    "doi": "10.24435/materialscloud:2019.0040/v1", 
    "conceptrecid": "177", 
    "publication_date": "Aug 09, 2019, 00:00:00", 
    "edited_by": 65, 
    "_oai": {
      "id": "oai:materialscloud.org:178"
    }, 
    "contributors": [
      {
        "affiliations": [
          "Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, CH-1015 Lausanne, Switzerland and National Centre for Computational Design and Discovery of Novel Materials MARVEL, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland"
        ], 
        "email": "quansheng.wu@epfl.ch", 
        "familyname": "Wu", 
        "givennames": "QuanSheng"
      }, 
      {
        "affiliations": [
          "Physik-Institut, Universit\u00e4t Z\u00fcrich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland and Department of Physics, St. Petersburg State University, St. Petersburg, 199034 Russia"
        ], 
        "familyname": "Soluyanov", 
        "givennames": "Alexey A."
      }, 
      {
        "affiliations": [
          "Department of Physics, McCullough Building, Stanford University, Stanford, CA 94305, USA and Stanford Center for Topological Quantum Physics, Stanford University, Stanford, CA 94305, USA"
        ], 
        "email": "bzdusek@stanford.edu", 
        "familyname": "Bzdu\u0161ek", 
        "givennames": "Tom\u00e1\u0161"
      }
    ], 
    "owner": 65, 
    "license_addendum": "", 
    "mcid": "2019.0040/v1", 
    "_files": [
      {
        "size": 50457407, 
        "checksum": "md5:016bc25ab0f6dcff8373495b523434ee", 
        "description": "This file contains necessary scripts and data to generate the figures both in the main text and the supplementary materials for\r\npaper \"Non-Abelian band topology in noninteracting metals, QuanSheng Wu, Alexey A. Soluyanov, Tom\u00e1\u0161 Bzdu\u0161ek\"\r\n\r\nThe data includes\r\n1. The input files for VASP which is a software to do first-principle calculations.\r\n2. The input files for Wannier90 which is an open-source software to generate the Wannier tight-binding model.\r\n3. The input files for WannierTools which is an open-source software to analyze the topological properties of Sc.\r\n4. Some necessary model data to generate the relevant figures.", 
        "key": "Data-materialscloud-arxiv-1808.07469.tar.gz"
      }
    ], 
    "id": "178", 
    "status": "published"
  }, 
  "revision": 2, 
  "updated": "2021-12-08T03:34:29.243409+00:00", 
  "created": "2020-05-12T13:53:04.200203+00:00", 
  "id": "178"
}