Robustness of unconventional $s$-wave superconducting states against disorder

Abstract

We investigate the robustness against disorder of superconductivity in multiband systems where the fermions have four internal degrees of freedom. This permits unconventional $s$-wave pairing states, which may transform nontrivially under crystal symmetries. Using the self-consistent Born approximation, we develop a general theory for the effect of impurities on the critical temperature, and find that the presence of these novel $s$-wave channels significantly modifies the conclusions of single-band theories. We apply our theory to two candidate topological superconductors, YPtBi and Cu${}_x$Bi${}_2$Se${}_3$, and show that the novel $s$-wave states display an enhanced resilience against disorder, which extends to momentum-dependent pairing states with the same crystal symmetry. The robustness of the $s$-wave states can be quantified in terms of their superconducting fitness, which can be readily evaluated for model systems.

References in corpus (28)

• Model Hamiltonian for Topological Insulators
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Beyond Triplet: Unconventional Superconductivity in a Spin-3/2 Topological Semimetal
• Pairing of j=3/2 fermions in half-Heusler superconductors
• Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
• Identifying detrimental effects for multi-orbital superconductivity - Application to Sr${}_2$RuO${}_4$
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Enhancing Superconductivity by Disorder
• Robustness of odd-parity superconductivity with spin-orbit locking against disorder
• Tailoring $T_c$ by symmetry principles: The concept of Superconducting Fitness
• Direct visualization of the nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Robust parity-mixed superconductivity in disordered monolayer transition metal dichalcogenides
• Hund interaction, spin-orbit coupling and the mechanism of superconductivity in strongly hole-doped iron pnictides
• Resilient nodeless $d$-wave superconductivity in monolayer FeSe
• Bulk electronic state of superconducting topological insulator
• Generalized Anderson's theorem for superconductors derived from topological insulators
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Models of Superconducting Cu:Bi2Se3: single versus two-band description
• Effects of impurities on superconductivity in noncentrosymmetric compounds
• Entangled Orbital Triplet Pairs in Iron-Based Superconductors
• Analog of Anderson theorem for the polar phase of liquid 3He in nematic aerogel
• Non-fragile superconductivity with nodes in the superconducting topological insulator CuxBi2Se3: Zeeman orbital field and non-magnetic impurities
• Pair breaking in multi-orbital superconductors: an application to oxide interfaces
• Theory of superconductivity in hole-doped monolayer MoS${}_2$
• Topological nodal line in superfluid ${}^3$He and the Anderson theorem

Cited by in corpus (16)

• Unconventional superconductivity protected from disorder on the kagome lattice
• Electron irradiation effects on superconductivity in PdTe${}_2$: an application of a generalized Anderson theorem
• Time-reversal symmetry breaking and multigap superconductivity in the noncentrosymmetric superconductor La${}_7$Ni${}_3$
• General theory of robustness against disorder in multi-band superconductors
• Possible unconventional pairing in $(\text{Ca,Sr}{)}_3(\text{Ir,Rh}{)}_4{\text{Sn}}_{13}$ superconductors revealed by controlling disorder
• Topological nodal line in superfluid ${}^3$He and the Anderson theorem
• The effect of interorbital scattering on superconductivity in doped Dirac materials
• Using Disorder to Identify Bogoliubov Fermi-Surface States
• Impact of Strong Anisotropy on Phase Diagram of Superfluid ${}^3$He in Aerogels
• Superconductivity in Cu-doped Bi${}_2$Se${}_3$ with potential disorder
• Time-reversal-symmetry Breaking in the Superconducting State of ScS
• Lifshitz transition in dirty nematic superconductor
• Bound states around impurities in a superconducting bilayer
• Disorder-induced suppression of superconductivity in infinite-layer nickelates
• Andreev bound states at nonmagnetic impurities in superconductor/antiferromagnet heterostructures
• Sensitivity of superconducting states to the impurity location in layered materials