Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$

Abstract

Layered three-dimensional centrosymmetric crystals can exhibit characteristics of noncentrosymmetric materials. This happens when each individual layer alone lacks inversion, but, when combined, inversion symmetry is restored; hence the designation: locally noncentrosymmertic superconductors (LNCSs). In LNCSs, the effects of impurities and subdominant magnetic field induced pairing channels remain unexplored. Using a minimal model, we examine all pairing channels and show that there is always a subdominant superconducting instability that is favored at high magnetic fields, which can substantially alter the magnetic field -- temperature phase diagram. Also, we find that the phase diagram responds to disorder in a non-monotonic way, which can be subjected to experimental verification. We apply these ideas to the recently unveiled two-phase superconducting phase diagram of CeRh${}_2$As${}_2$. We identify the two phases as singlet-triplet mixed even- and odd-parity states at low and a high fields, respectively. Furthermore, we predict the presence of two superconducting phases also for in-plane magnetic fields in cleaner samples, since a high-field phase could have been so far hindered by impurity effects.

arXiv comment19 pages, 10 figures

References in corpus (38)

• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Heavy Fermions and Quantum Phase Transitions
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Extreme magnetic field-boosted superconductivity
• Quantum phases driven by strong correlations
• Spin susceptibility in superconductors without inversion symmetry
• 2D superconductivity with strong spin-orbit interaction
• Field-induced transition from even to odd parity superconductivity in CeRh${}_2$As${}_2$
• Extremely strong coupling superconductivity in artificial two-dimensional Kondo lattices
• Magnetoelectric effects in heavy-fermion superconductors without inversion symmetry
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Using controlled disorder to probe the interplay between charge order and superconductivity in NbSe2
• Superconductivity and local non-centrosymmetricity in crystal lattices
• Pair-density wave states through spin-orbit coupling in multilayer superconductors
• Identifying detrimental effects for multi-orbital superconductivity - Application to Sr${}_2$RuO${}_4$
• Paramagnetic properties of non-centrosymmetric superconductors: Application to CePt3Si
• Tailoring $T_c$ by symmetry principles: The concept of Superconducting Fitness
• Fermi liquid theory for heavy fermion superconductors without inversion symmetry : Magnetism and transport coefficients
• Odd-parity superconductivity in bilayer transition metal dichalcogenides
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Direct Evidence for a Magnetic f-electron Mediated Cooper Pairing Mechanism of Heavy Fermion Superconductivity in CeCoIn5
• Ising superconductors: Interplay of magnetic field, triplet channels, and disorder
• Generalized Anderson's theorem for superconductors derived from topological insulators
• Unusual $H$-$T$ phase diagram of CeRh${}_2$As${}_2$ -- the role of staggered non-centrosymmetricity
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• s+if pairing in Ising superconductors
• Two scenarios for superconductivity in CeRh${}_2$As${}_2$
• Parity-Mixed Superconductivity in Locally Non-centrosymmetric System
• Electronic and dynamical properties of CeRh${}_2$As${}_2$: Role of Rh${}_2$As${}_2$ layers and expected hidden orbital order
• Electron irradiation effects on superconductivity in PdTe${}_2$: an application of a generalized Anderson theorem
• Spin response and topology of a staggered Rashba superconductor
• Superconductivity and quantum criticality in heavy fermions CeIrSi${}_3$ and CeRhSi${}_3$
• Orbitally limited pair-density wave phase of multilayer superconductors
• Interplay between unconventional superconductivity and heavy-fermion quantum criticality: CeCu${}_2$Si${}_2$ versus YbRh${}_2$Si${}_2$
• Robust zero-energy bound states around a pair-density-wave vortex core in locally noncentrosymmetric superconductors
• Magnetic impurities in thin films and 2D Ising superconductors
• Superconductivity in LaPd2Bi2 with CaBe2Ge2-type structure

Cited by in corpus (25)

• Field-angle dependence reveals odd-parity superconductivity in CeRh${}_2$As${}_2$
• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Violation of the Pauli-Clogston limit in a heavy Fermion superconductor CeRh${}_2$As${}_2$ --Duality of itinerant and localized 4f electrons--
• Parity transition of spin-singlet superconductivity using sub-lattice degrees of freedom
• Discovery of magnetic phase transitions in heavy-fermion superconductor CeRh${}_2$As${}_2$
• Low-Temperature Thermal Conductivity of CeRh${}_2$As${}_2$
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Fermi Surface Nesting with Heavy Quasiparticles in the Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Spectroscopic evidence of Kondo-induced quasi-quartet in CeRh${}_2$As${}_2$
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Exploring Fermi Surface Nesting and the Nature of Heavy Quasiparticles in the Spin-Triplet Superconductor Candidate CeRh${}_2$As${}_2$
• Topological d-wave superconductivity in two dimensions
• Kramers' degenerate magnetism and superconductivity
• Horizontal flux growth as an efficient preparation method of CeRh${}_2$As${}_2$ single crystals
• Exposing the odd-parity superconductivity in CeRh${}_2$As${}_2$ with hydrostatic pressure
• Anisotropic field-induced changes in the superconducting order parameter of UTe2
• 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
• Planar Hall effect from superconducting fluctuations
• Uniform and Staggered electric axial moment in zigzag chain
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Multipolar fluctuations from localized 4f electrons in CeRh2As2
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$