Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors

Abstract

Topological crystalline superconductivity in the locally non-centrosymmetric multilayer superconductors (SCs) is proposed. We study the odd-parity pair-density wave (PDW) state induced by the spin-singlet pairing interaction through the spin-orbit coupling. It is shown that the PDW state is a topological crystalline SC protected by a mirror symmetry, although it is topologically trivial according to the classification based on the standard topological periodic table. The topological property of the mirror subsectors is intuitively explained by adiabatically changing the BdG Hamiltonian. A subsector of the bilayer PDW state reduces to the two-dimensional non-centrosymmetric SC, while a subsector of trilayer PDW state is topologically equivalent to the spinless p-wave SC. Chiral Majorana edge modes in trilayers can be realized without Cooper pairs in the spin-triplet channel and chemical potential tuning.

8 pages, 2 figures

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Cited by in corpus (42)

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• Quantum-Matter Heterostructures
• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
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• Topological phase transitions in multi-component superconductors
• From Kondo Lattices to Kondo Superlattices
• Two scenarios for superconductivity in CeRh${}_2$As${}_2$
• Möbius topological superconductivity in UPt${}_3$
• $Z_4$ Topological Superconductivity in UCoGe
• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Paramagnetically induced gapful topological superconductors
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• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
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• Electric octupole order in bilayer Rashba system
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• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Orbitally limited pair-density wave phase of multilayer superconductors
• Optical Selection Rules in Spin-Orbit Coupled Systems on Honeycomb Lattice
• Strongly parity-mixed superconductivity in Rashba-Hubbard model
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Superconducting Diode Effect in Multiphase Superconductors
• Controlling unconventional superconductivity in artificially engineered $f$-electron Kondo superlattices
• Robust zero-energy bound states around a pair-density-wave vortex core in locally noncentrosymmetric superconductors
• Topological Ising pairing states in monolayer and trilayer TaS${}_2$
• Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides
• Effects of nucleation at a first-order transition between two superconducting phases: Application to CeRh${}_2$As${}_2$
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Superconducting meron phase in locally noncentrosymmetric superconductors
• Exotic heavy fermion superconductivity in atomically thin CeCoIn${}_5$ films
• Momentum space imaging of locally noncentrosymmetric superconductors
• Uniform and Staggered electric axial moment in zigzag chain
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Extremely high upper critical field in BiCh${}_2$-based (Ch: S and Se) layered superconductor LaO${}_{0.5}$F${}_{0.5}$BiS${}_{2-x}$Se${}_x$ ($x$ = 0.22 and 0.69)
• Field-induced topological pair-density wave states in a multilayer optical lattice