Orbitally limited pair-density wave phase of multilayer superconductors

Abstract

We investigate the magnetic field dependence of an ideal superconducting vortex lattice in the parity-mixed pair-density wave phase of multilayer superconductors within a circular cell Ginzburg-Landau approach. In multilayer systems, due to local inversion symmetry breaking, a Rashba spin-orbit coupling is induced at the outer layers. This combined with a perpendicular paramagnetic (Pauli) limiting magnetic field stabilizes a staggered layer dependent pair-density wave phase in the superconducting singlet channel. The high-field pair-density wave phase is separated from the low-field BCS phase by a first-order phase transition. The motivating guiding question in this paper is: what is the minimal necessary Maki parameter ${\alpha }_M$ for the appearance of the pair-density wave phase of a superconducting trilayer system? To address this problem we generalize the circular cell method for the regular flux-line lattice of a type-II superconductor to include paramagnetic depairing effects. Then, we apply the model to the trilayer system, where each of the layers are characterized by Ginzburg-Landau parameter ${\kappa }_0$, and a Maki parameter ${\alpha }_M$. We find that when the spin-orbit Rashba interaction compares to the superconducting condensation energy, the orbitally limited pair-density wave phase stabilizes for Maki parameters ${\alpha }_M>10$.

arXiv comment13 pages, 7 figures

References in corpus (22)

• Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in CeCoIn5
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Electric-field-induced superconductivity in electrochemically-etched ultrathin FeSe films on SrTiO3 and MgO
• Spin susceptibility in superconductors without inversion symmetry
• Extremely strong coupling superconductivity in artificial two-dimensional Kondo lattices
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Pair-density wave states through spin-orbit coupling in multilayer superconductors
• Anomalous Upper Critical Field in CeCoIn_5/YbCoIn_5 Superlattices with a Rashba-type Heavy Fermion Interface
• Vortex states in superconductors with strong Pauli-paramagnetic effect
• Controllable Rashba spin-orbit interaction in artificially engineered superlattices involving the heavy-fermion superconductor CeCoIn5
• Universal behavior of the upper critical field in iron based superconductors
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Interplay of paramagnetic, orbital and impurity effects on the phase transition of a normal metal to superconducting state
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• From Kondo Lattices to Kondo Superlattices
• Parity-Mixed Superconductivity in Locally Non-centrosymmetric System
• Approximate Ginzburg-Landau solution for the regular flux-line lattice. Circular cell method
• Basic Properties of a Vortex in a Noncentrosymmetric Superconductor
• Robust zero-energy bound states around a pair-density-wave vortex core in locally noncentrosymmetric superconductors
• Paramagnetic Effects in the Vortex Lattice Field Distribution of Strongly Type-II Superconductors
• Spin-Orbit Coupling in Multilayer Superconductors with Charge Imbalance
• Temperature-dependent Ginzburg-Landau parameter

Cited by in corpus (21)

• Discovery of a Cooper-Pair Density Wave State in a Transition-Metal Dichalcogenide
• Superconductivity and Local Inversion-Symmetry Breaking
• Robust parity-mixed superconductivity in disordered monolayer transition metal dichalcogenides
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Unusual $H$-$T$ phase diagram of CeRh${}_2$As${}_2$ -- the role of staggered non-centrosymmetricity
• Two scenarios for superconductivity in CeRh${}_2$As${}_2$
• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
• Decoupling multi-phase superconductivity from normal state ordering in CeRh${}_2$As${}_2$
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Superconducting Diode Effect in Multiphase Superconductors
• Linear optical response from the odd parity Bardasis-Schrieffer mode in locally non-centrosymmetric superconductors
• Topological d-wave superconductivity in two dimensions
• Microscopic theory of in-plane critical field in two-dimensional Ising superconducting systems
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• The phase diagram of CeRh${}_2$As${}_2$ for out-of-plane magnetic field
• Superconducting meron phase in locally noncentrosymmetric superconductors
• Reciprocal and nonreciprocal paraconductivity in bilayer multiphase superconductors
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$