Electronic Raman Scattering in copper oxide Superconductors: Understanding the Phase Diagram

Abstract

Electronic Raman scattering measurements have been performed on hole doped copper oxide superconductors as a function of temperature and doping level. In the superconducting state coherent Bogoliubov quasiparticles develop preferentially over the nodal region in the underdoped regime. We can then define the fraction of coherent Fermi surface, $f_c$ around the nodes for which quasiparticles are well defined and superconductivity sets in. We find that $f_c$ is doping dependent and leads to the emergence of two energy scales. We then establish in a one single gap shem, that the critical temperature $T_c\propto f_c{\Delta }_{max}$ where ${\Delta }_{max}$ is the maximum amplitude of the d-wave superconducting gap. In the normal state, the loss of antinodal quasiparticles spectral weight detected in the superconducting state persists and the spectral weight is only restored above the pseudogap temperature $T\ast$. Such a dichotomy in the quasiparticles dynamics is then responsible for the emergence of the two energy scales in the superconducting state and the appearance of the pseudogap in the normal state. We propose a 3D phase diagram where both the temperature and the energy phase diagrams have been plotted together. We anticipate that the development of coherent excitations on a restricted part of the Fermi surface only is a general feature in high $T_c$ cuprate superconductors as the Mott insulating is approaching.

40 pages, 19 figures some new references and comments have been added with respect to the first version of march 30th

References in corpus (22)

• Inelastic Light Scattering From Correlated Electrons
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Two Gaps Make a High Temperature Superconductor?
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Evidence for complex order parameter in La_{1.83}Sr_{0.17}CuO_4
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
• The coherent {\it d}-wave superconducting gap in underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ as studied by angle-resolved photoemission
• A momentum-dependent perspective on quasiparticle interference in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Evolution of the gaps through the cuprate phase-diagram
• Large Bi-2212 single crystal growth by the floating-zone technique
• Superconducting Fluctuations, Pseudogap and Phase Diagram in Cuprates
• The nodal gap component as a good candidate for the superconducting order parameter in cuprates
• Fermi arcs in cuprate superconductors: tracking the pseudogap below Tc and above T*
• Energy Scales in the Raman spectrum of electrons and hole doped cuprates within competing scenarios

Cited by in corpus (12)

• Universal self-field critical current for thin-film superconductors
• Divergent nematic susceptibility near the pseudogap critical point in a cuprate superconductor
• Characterization of the Intra-Unit-Cell magnetic order in Bi2Sr2CaCu2O8+d
• Vertical temperature-boundary of the pseudogap under the superconducting dome of the Bi2Sr2CaCu2O8+d phase-diagram
• An energy scale directly related to superconductivity in the high-$T_c$ cuprate superconductors: Universality from the Fermi arc picture
• Phase Competition and Anomalous Thermal Evolution in High-Temperature Superconductors
• Three energy scales in the superconducting state of hole-doped cuprates detected by electronic Raman scattering
• The Three Component Electronic Structure of the Cuprates Derived from SI-STM
• Double pair breaking peak in Raman scattering spectra of triple layer cuprate Bi2223
• Signatures of Hund Metal and finite-frequency nesting in Sr${}_2$RuO${}_4$ Revealed by Electronic Raman Scattering
• Quantitative Comparison between Electronic Raman Scattering and Angle-Resolved Photoemission Spectra in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Superconductors: Doping Dependence of Nodal and Antinodal Superconducting Gaps
• Raman Response of the Charge Density Wave in Cuprate Superconductors