Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors

摘要

Topological crystalline superconductivity in the locally non-centrosymmetricmultilayer superconductors (SCs) is proposed. We study the odd-paritypair-density wave (PDW) state induced by the spin-singlet pairing interactionthrough the spin-orbit coupling. It is shown that the PDW state is atopological crystalline SC protected by a mirror symmetry, although it istopologically trivial according to the classification based on the standardtopological periodic table. The topological property of the mirror subsectorsis intuitively explained by adiabatically changing the BdG Hamiltonian. Asubsector of the bilayer PDW state reduces to the two-dimensionalnon-centrosymmetric SC, while a subsector of trilayer PDW state istopologically equivalent to the spinless p-wave SC. Chiral Majorana edge modesin trilayers can be realized without Cooper pairs in the spin-triplet channeland chemical potential tuning.