{
"id": "2009.07263",
"version": "v1",
"published": "2020-09-15T17:51:44.000Z",
"updated": "2020-09-15T17:51:44.000Z",
"title": "$\\mathbb{Z}_2$ Topologically Obstructed Superconducting Order",
"authors": [
"Canon Sun",
"Yi Li"
],
"categories": [
"cond-mat.supr-con",
"cond-mat.str-el"
],
"abstract": "We propose a class of topological superconductivity where the pairing order is $\\mathbb{Z}_2$ topologically obstructed in a time-reversal invariant system in three dimensions. When two Fermi surfaces are related by time-reversal and mirror symmetries, such as those in a $\\mathbb{Z}_2$ Dirac semimetal, the inter-Fermi-surface pairing in the weak-coupling regime inherits the band topological obstruction. As a result, the pairing order cannot be well-defined over the entire Fermi surface and forms a time-reversal invariant generalization of U($1$) monopole harmonic pairing. A tight-binding model of the $\\mathbb{Z}_2$ topologically obstructed superconductor is constructed based on a doped $\\mathbb{Z}_2$ Dirac semimetal and exhibits nodal gap function. At an open boundary, the system exhibits a time-reversal pair of topologically protected surface states.",
"revisions": [
{
"version": "v1",
"updated": "2020-09-15T17:51:44.000Z"
}
],
"analyses": {
"keywords": [
"topologically obstructed superconducting order",
"dirac semimetal",
"time-reversal invariant system",
"pairing order",
"entire fermi surface"
],
"note": {
"typesetting": "TeX",
"pages": 0,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}