Dressed behavior of the quasiparticles lifetime in the unitary limit of two unconventional superconductors

Abstract

We compare the quasiparticle lifetime behavior in the unitary limit of two unconventional superconductors dressed by nonmagnetic impurity scattering to differentiate an anomalous functional behavior in its shape when the disorder concentration is changed in a triplet paired model with respect to the well behave singlet model. For singlet paired superconductors, the functional shape of the lifetime due to elastic scattering around the nodal regions in the reduced elastic scattering space, does not change with the disorder concentration, but for a triplet model with a tiny gap, an anomalous drop in shape is observed only when small values of disordering are added. We use a 2D tight-binding parametrization to study the reduced phase space of the first Brillouin zone, where the low-energy scattering is restricted to the nodal/quasinodal regions for two irreducible representations of the crystal lattice. A new class of Wigner probabilistic distribution functions is discussed for triplet superconductors.

Quasi-point versus point nodes in Sr2RuO4, the case of a flat tight binding γ sheet

“…As noticed firstly in [16] and also by us in [19][20], the gap on the γ sheet is very anisotropic and leaves a tiny gap ∆ γ 0 around four points, (0, ±π) and (±π, 0), but now we state that when |t| | F | there is not such a gap. According to group theory considerations, in this case as in the tiny gap MN model, the imaginary OP has two components which belong to the irreducible representation E 2u of the tetragonal point group D 4h [17].…”

“…In this research, we set up a new numerical study with almost non dispersion in ξ γ (k x , k y ), i.e., when |t| | F |, in contrast with our previously studied [19][20] where we used…”

Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate

“…Some interesting physical properties such as coalescence for very low amount of non-magnetic dirt, and pure Bose supercarriers and mixed dressed scattered quasiparticles with Cooper pairs phases can be phenomenological differentiate in this study in the strong scattering unitary regime [28,39].…”

“…Since the calculation is in the unitary scattering limit, the peak at zero frequencies will coexist for all phases, contrasting its zero frequency value and the width of the Wigner probabilistic distribution as a function of the non-magnetic disorder concentration Γ . The prediction of the constant lifetime from the scattering cross-section was inferred in [38], the physical explanation has been given very recently in [39], and was compared successfully with experimental data in [28]. Therefore according to Figure 2, the clear blue curve is very close to the Mott -Hubbard dielectric La 2 CuO 4 antiferromagnetic phase where there are no dressed quasiparticles since, with : (9 ) → 0 and correspond to an insulator phase (Γ = 0.01 meV).…”

“…), that correspond to a tiny MN interval with only boson quasiparticles and another phase shadowed gray ((Γ >= 0.10 meV).) that mixes both types of quasiparticles, bosons and dressed normal quasiparticles [13,14,39]. The calculation is in the the unitary scattering limit for stoichiometric Sr with point nodes and a tiny gap, the width at zero frequencies will be stronger than for the strontium doped LaCuO ceramic and the previous ground state family of plots for stoichiometry Sr 2 RuO 4 , increasing its zero frequency values and the width of the Wigner probabilistic distributions as a function of the non-magnetic disorder concentration Γ , as can bee seen in Table 3.…”