Superconducting and Pseudogap Transition Temperatures in High-Tc Cuprates and the $T_c$ Dependence on Pressure

Abstract

We derive analytic expressions for the critical temperatures of the superconducting (SC) and pseudogap (PG) transitions of the high-Tc cuprates as a function of doping. These are in excellent agreement with the experimental data both for single-layered materials such as LSCO, Bi2201 and Hg1201 and multi-layered ones, such as Bi2212, Bi2223, Hg1212 and Hg1223. Optimal doping occurs when the chemical potential vanishes, thus leading to an universal expression for the optimal SC transition temperatures. This allows for the obtainment of a quantitative description of the growth of such temperatures with the number of layers, N, which accurately applies to the $Bi$, $Hg$ and $Tl$ families of cuprates. We study the pressure dependence of the SC transition temperatures, obtaining excellent agreement with the experimental data for different materials and dopings. These results are obtained from an effective Hamiltonian for the itinerant oxygen holes, which includes both the electric repulsion between them and their magnetic interactions with the localized copper ions. We show that the former interaction is responsible for the SC and the latter, for the PG phases, the phase diagram of cuprates resulting from the competition of both. The Hamiltonian is defined on a bipartite oxygen lattice, which results from the fact that only the $p_x$ and $p_y$ oxygen orbitals alternatively hybridize with the $3d$ copper orbitals. From this, we can provide an unified explanation for the $d_{x^2-y^2}$ symmetry of both the SC and PG order parameters and obtain the Fermi pockets observed in ARPES experiments.

References in corpus (27)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Hidden Order in the Cuprates
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Two Gaps Make a High Temperature Superconductor?
• A Theory of the Pseudogap State of the Cuprates
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Carrier concentrations in Bi_{2}Sr_{2-z}La_{z}CuO_{6+δ} single crystals and their relation to Hall coefficient and thermopower
• Non-Universal Power Law of the "Hall Scattering Rate" in a Single-Layer Cuprate Bi_{2}Sr_{2-x}La_{x}CuO_{6}
• Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo
• Angle-resolved photoemission spectra in the cuprates from the d-density wave theory
• Doping Dependence of Anisotropic Resistivities in Trilayered Superconductor Bi2Sr2Ca2Cu3O10+delta (Bi-2223)
• Higher superconducting transition temperature by breaking the universal pressure relation
• Unified electronic phase diagram for hole-doped high-Tc cuprates
• Importance of d-p Coulomb interaction for high T${}_C$ cuprates and other oxides
• Magic Doping Fractions in High-Temperature Superconductors
• Quantum Criticality and Superconductivity in Quasi-Two-Dimensional Dirac Electronic Systems
• A Universal Intrinsic Scale of Hole Concentration for High-Tc Cuprates
• Quantum skyrmions and the destruction of long-range antiferromagnetic order in the high-Tc superconductors La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(6+x)
• Strongly Interacting Two-Dimensional Dirac Fermions
• Hole Localization in Underdoped Superconducting Cuprates Near 1/8th Doping
• Universal optimal hole-doping concentration in single-layer high-temperature cuprate superconductors
• Quasiparticle Nernst effect in the cuprate superconductors from the d-density wave theory of the pseudogap phase
• Charge pairing, superconducting transition and supersymmetry in high-temperature cuprate superconductors
• Competing effective interactions of Dirac electrons in the Spin-Fermion system
• Novel Interplay between High-Tc Superconductivity and Antiferromagnetism in Tl-based Six-CuO2-Layered Cuprates : 205 Tl and 63 Cu-NMR Probes

Cited by in corpus (4)

• Unveiling phase diagram of the lightly doped high-Tc cuprate superconductors with disorder removed
• Effective-field theory for high-$T_c$ cuprates
• Cuprates phase diagram deduced from magnetic susceptibility: what is the `true' pseudogap line?
• Magnetic Field Effects on the Transport Properties of High-Tc Cuprates