Browsing by Autor "Dianela Osorio"

Now showing 1 - 9 of 9

A Tale of the Scattering Lifetime and the Mean Free Path
(2023) Pedro Contreras; Dianela Osorio
The idea of applying the scattering lifetime calculated from the imaginary part of the zero temperature elastic scattering cross-section to study a hidden self-consistent damping in two spaces of importance for non-equilibrium statistical mechanics is proposed. It is discussed its relation with the classical phase space from statistical mechanics and the configuration space from nonrelativistic quantum mechanics. This idea is contrasted with the mean free path values in three elastic collision regimes. The main exercise is to study the behavior of a self-consistent probabilistic distribution function in a space we have called the reduced phase space, since it is related to the scattering lifetime. This exercise has been solved in two unconventional superconductors, for which several calculations are discussed. One of them is to obtain the scattering phase shift from the inverse strength of an atomic potential and the other is to build several phases with different nodal configuration of the superconducting order parameter and show that the imaginary self-consistent part of the scattering cross-section is always positive for two compounds: the triplet strontium ruthenate and the singlet doped with strontium lanthanum cuprate when three models of superconducting order parameters are used: the quasi-point, the point and the line nodal cases. We finally compare the frequency dispersion in the anomalous skin effect with singular shapes of the Fermi surface with the frequency dispersion in the scattering lifetime and their respective mean free paths. This idea is useful because it intuitively explores the nonlocality of this type of hidden self-consistent damping for those incoherent fermionic quasiparticles.
A Tale of the Scattering Lifetime and the Mean Free Path
(RELX Group (Netherlands), 2023) Pedro Contreras; Dianela Osorio
Coalescence of Impurity Strontium Atoms in Lightly-Substituted Samples of Lanthanum Cuprate
(Cornell University, 2022) E. Yu. Beliayev; Dianela Osorio; Pedro Contreras
By comparing experimental results obtained in the study of the electron transport and magnetic properties of samples of lightly strontium-substituted lanthanum cuprates and the results of a previously published numerical analysis in the reduced elastic scattering space (RPS) of the elastic scattering cross-section, we construct a phenomenological classical self-consistent strong-binding energy density profile in the superconducting $La_{2-x}Sr_xCuO_4$ cuprate. It is found that the imaginary part of the reduced phase scattering space can be zero, almost constant, or strongly self-consistent, depending on the Sr substituted concentration. If the Sr atomic concentration is dilute, a constant imaginary part of the elastic scattering cross-section brings a sub-melted coalescent superconducting metallic profile similar to the one with a constant scattering lifetime in the metallic state of normal metals, except for the unitary narrow, sharp peak at zero frequency. A self-consistent broadening of this peak occurs for a higher concentration of Sr atoms, and finally, for very small amounts of nonmagnetic dirt, only the narrow unitary peak prevails around the zero frequency.
Evidence for coalescence in lightly doped strontium-substituted lanthanum cuprate samples
(Centre National de la Recherche Scientifique, 2022) E. Yu. Beliayev; Dianela Osorio; P. Contreras
By comparing the experimental results obtained in the study of the electron transport and magnetic properties of samples of lightly doped strontium substituted lanthanum cuprates and the results of the theoretical analysis in the reduced elastic scattering space (RPS), we constructed the classical self-consistent strong-binding energy density profile in the superconducting mode for this material. It is found that the imaginary part of the RPS can be zero, almost constant, or strongly self-consistent, depending on the Sr impurity concentration x. Supposing the Sr impurity concentration is very dilute, a constant imaginary part of the elastic scattering cross-section brings a sub-melted coalescent superconducting metallic state similar to the constant lifetime in the normal state, except for the unitary narrow, sharp peak at zero frequency. A broadening of the peak occurs for optimal concentration of Sr atoms, mixing a more significant amount of nodal fermion quasiparticles with Cooper pairs and making the energy density profile strongly self-consistent dependent.
Implicit Fermi Surface Evolution Using the Zero Temperature Elastic Scatteringcross-Section&nbsp;For La2−Xsrxcuo4
(RELX Group (Netherlands), 2022) Pedro Contreras; Dianela Osorio; Anjna Devi
Non-magnetic tight binding disorder effects in the γ sheet of Sr2RuO4.
(Mexican Society of Physics, 2022) Pedro Contreras; Dianela Osorio; Shikhgasan Ramazanov
Inspired by the physics of the Miyake - Narikiyo model (MN) for superconductivity in the γ sheet of Sr2RuO4, we set out to investigate numerically the behavior caused by a non-magnetic disorder in the imaginary part of the elastic scattering matrix for an anisotropic tight-binding model. We perform simulations by going from the Unitary to the Born scattering limit, varying the parameter c which is inverse to the strength of the impurity potential. It is found that the unitary and intermedia limits persist for different orders of magnitude in simulating the disorder concentration. Subsequently and in order to find the MN tiny gap, we perform a numerical study of the unitary limit as a function of disorder concentration, to find the tiny anomalous gap.
The Effect of Nonmagnetic Disorder in the Energy Gap at Zero Temperature for the Fs Γ-Sheet of Strontium Ruthenate
(RELX Group (Netherlands), 2022) Pedro Contreras; Dianela Osorio; Anjna Devi
The Tight-Binding Flat Band Case in the Strontium-Substituted Lanthanum Cuprate
(RELX Group (Netherlands), 2022) Pedro Contreras; Dianela Osorio; Eugeniy Yurievich Beliayev
Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate
(Science Publishing Group, 2022) Pedro Contreras; Dianela Osorio; Eugeniy Yurievich Beliayev
We use the idea of the Wigner probability distribution (WPD) in a reduced scattering phase space (RPS) for the elastic scattering cross-section, with the help of a Tight-Binding (TB) numerical procedure allowing us to consider the anisotropic quantum effects, to phenomenologically predict several phases in these two novel unconventional superconductors. Unlike our previous works with pieces of evidences that these two compounds are in the unitary strong scattering regime and that superconductivity is suppressed by the atoms of strontium in both materials, several phases are built. In the case of the strontium-substituted lanthanum cuprate, it was found three phases from one family of Wigner probabilistic distributions, one corresponding to the antiferromagnetic compound La2CuO4 another one which consists of a coalescing metallic phase for very lightly doped La2-xSrxCuO4, and finally a strong self-consistent dependent strange metal phase with optimal levels of doping. In the case of a triplet superconductor strontium ruthenate, three phases can be differentiated from two families of Wigner distribution probabilities, one family of WDP with point nodes where Cooper pairs and dressed scattered normal quasiparticles are mixed for the whole range of frequencies and which correspond to a FS γ-flat-sheet in the ground metallic state, and two phases from another WPD family, where, in one of then, the Miyake-Narikiyo quasinodal tiny gap model allows the unique presence of Cooper pairs in a tiny interval of frequencies near the superconducting transition TC, the other phase corresponds to the mixed phase with Cooper pairs and dressed by stoichiometric strontium non-magnetic atoms, where strong self-consistent effects are noticeable. This approach allows comparing experimental results for samples in both compounds with numerical analysis studies.