{"database":"biostudies-literature","file_versions":[],"scores":null,"additional":{"submitter":["Zou J"],"funding":["National Natural Science Foundation of China","National Key Research and Development Program of China"],"pagination":["nwaa169"],"full_dataset_link":["https://www.ebi.ac.uk/biostudies/studies/S-EPMC8288464"],"repository":["biostudies-literature"],"omics_type":["Unknown"],"volume":["8(5)"],"pubmed_abstract":["We classify gapped topological superconducting (TSC) phases of one-dimensional quantum wires with local magnetic symmetries, in which the time-reversal symmetry [Formula: see text] is broken, but its combinations with certain crystalline symmetries, such as [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], are preserved. Our results demonstrate that an equivalent BDI class TSC can be realized in the [Formula: see text] or [Formula: see text] superconducting wire, which is characterized by a chiral <i>Z</i> <sup><i>c</i></sup> invariant. More interestingly, we also find two types of totally new TSC phases in the [Formula: see text] and [Formula: see text] superinducting wires, which are beyond the known AZ class, and are characterized by a helical <i>Z</i> <sup><i>h</i></sup> invariant and <i>Z</i> <sup><i>h</i></sup> ⊕<i>Z</i> <sup><i>c</i></sup> invariants, respectively. In the <i>Z</i> <sup><i>h</i></sup> TSC phase, <i>Z</i> pairs of Majorana zero modes (MZMs) are protected at each end. In the [Formula: see text] case, the MZMs can be either chiral or helical, and even helical-chiral coexisting. The minimal models preserving [Formula: see text] or [Formula: see text] symmetry are presented to illustrate their novel TSC properties and MZMs."],"journal":["National science review"],"pubmed_title":["New types of topological superconductors under local magnetic symmetries."],"pmcid":["PMC8288464"],"funding_grant_id":["2018YFA0307000","11874022"],"pubmed_authors":["Zou J","Xie Q","Xu G","Song Z"],"additional_accession":[]},"is_claimable":false,"name":"New types of topological superconductors under local magnetic symmetries.","description":"We classify gapped topological superconducting (TSC) phases of one-dimensional quantum wires with local magnetic symmetries, in which the time-reversal symmetry [Formula: see text] is broken, but its combinations with certain crystalline symmetries, such as [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], are preserved. Our results demonstrate that an equivalent BDI class TSC can be realized in the [Formula: see text] or [Formula: see text] superconducting wire, which is characterized by a chiral <i>Z</i> <sup><i>c</i></sup> invariant. More interestingly, we also find two types of totally new TSC phases in the [Formula: see text] and [Formula: see text] superinducting wires, which are beyond the known AZ class, and are characterized by a helical <i>Z</i> <sup><i>h</i></sup> invariant and <i>Z</i> <sup><i>h</i></sup> ⊕<i>Z</i> <sup><i>c</i></sup> invariants, respectively. In the <i>Z</i> <sup><i>h</i></sup> TSC phase, <i>Z</i> pairs of Majorana zero modes (MZMs) are protected at each end. In the [Formula: see text] case, the MZMs can be either chiral or helical, and even helical-chiral coexisting. The minimal models preserving [Formula: see text] or [Formula: see text] symmetry are presented to illustrate their novel TSC properties and MZMs.","dates":{"release":"2021-01-01T00:00:00Z","publication":"2021 May","modification":"2026-07-16T13:33:41.963Z","creation":"2025-06-01T03:27:26.863Z"},"accession":"S-EPMC8288464","cross_references":{"pubmed":["34691633"],"doi":["10.1093/nsr/nwaa169"]}}