Test Abstract Submission

Theory for High-Tc Superconductivity in Cuprates

E. C. Marino¹

¹ Institute of Physics, Federal University of Rio de Janeiro, Rio de Janeiro RJ, Brazil

We propose a comprehensive theory for High-Tc superconductivity in hole doped cuprates, which successfully predicts the values of many observable physical quantities, such as Tc(x), T*(x), TNéel(x), TSpinGlass(x), TChargeOrder(x), Tmax(P), r(T), r(H), (x = stoichiometric doping parameter, T = temperature, P = pressure, H = magnetic field, r = resistivity) among other observable quantities. These compare very well with the experimental data obtained for several cuprate materials including LSCO, YBCO, Hg1201, Hg1212, Hg1223, Bi2201, Bi2212, Bi2213. We can identify a parallelism relating our theory for the cuprates and the Kondo Lattice System (KLS). In both systems the degrees of freedom can be classified in two groups: a) localized spins and b) itinerant fermions. In the KLS the former consist of localized magnetic impurities, while the latter, are conduction band electrons. In our model for the cuprates, conversely, the localized spins are, 3d⁹ electrons of the localized cooper ions and the itinerant fermions are doped holes belonging to the p_x and p_y orbitals of the oxygen ions, assembled in two intertwined oxygen square sublattices. Effective interactions are generated in both groups of fundamental quasiparticles. In the KL system an RKKY interaction is generated among the localized spins, whereas an “inverse RKKY interaction” appears among the conduction band electrons, strongly influencing their behavior. In the same way, effective interactions are generated among the localized and itinerant degrees of freedom of high-Tc cuprates. The localized copper spins are shown to exhibit a mutual Heisenberg AF interaction, mediated by the oxygen holes (superexchange) while the oxygen holes present an “Effective Inverse Heisenberg Interaction”, which corresponds to the “inverse RKKY interaction” of the KLS. This contains two terms. One of them is always attractive for holes, thus providing the glue for the formation of Cooper pairs, and explaining the onset of a superconducting phase while the other is always repulsive for holes and attractive between electrons and holes, therefore, leading to the formation of excitons. The pseudogap phenomena derives from the condensation of excitons, whereas the resistivity of cuprates is a consequence of exciton-hole scattering. The linear growth of resistivity with the temperature can be simply understood in terms of the exciton density dependence on temperature.

References

[1] E. C. Marino et al. Superconducting and pseudogap transition temperatures in high-Tc cuprates and the Tc dependence on pressure,

Supercond. Sci. Technol. 33, 035009 (2020), [18980 downloads]

[2] R. Arouca and E. C. Marino, The resistivity of high-Tc cuprates,

Supercond. Sci. Technol. 34, 035004 (2021), [474 downloads]

[3] E. C. Marino and R. Arouca, Magnetic field effects on the transport properties of high-Tc cuprates, Supercond. Sci. Technol. 34, 085008 (2021) [315 downloads]

[4] E. C. Marino, Three studies in high-Tc cuprates, New J. Phys. 24, 063009 (2022),

[747 downloads]

[5] E. C. Marino, A Testable Theory for High-Tc Superconductivity in Cuprates,

SciPost Phys. Proc. 11 , 004 (2023)

[6] E. C. Marino, The Phase Diagram of High-Tc Cuprates,

Physica B: Condensed Matter 699, 416815 (2025)