Origin of the Pseudogap in High-Temperature Cuprate Superconductors

Abstract

Cuprate high-temperature superconductors exhibit a pseudogap in the normal state that decreases monotonically with increasing hole doping and closes at x \approx 0.19 holes per planar CuO2 while the superconducting doping range is 0.05 < x < 0.27 with optimal Tc at x \approx 0.16. Using ab initio quantum calculations at the level that leads to accurate band gaps, we found that four-Cu-site plaquettes are created in the vicinity of dopants. At x \approx 0.05 the plaquettes percolate, so that the Cu dx2y2/O pσ orbitals inside the plaquettes now form a band of states along the percolating swath. This leads to metallic conductivity and below Tc to superconductivity. Plaquettes disconnected from the percolating swath are found to have degenerate states at the Fermi level that split and lead to the pseudogap. The pseudogap can be calculated by simply counting the spatial distribution of isolated plaquettes, leading to an excellent fit to experiment. This provides strong evidence in favor of inhomogeneous plaquettes in cuprates.

arXiv comment24 pages (4 pages main text plus 20 pages supplement)

References in corpus (34)

• The pseudogap in high-temperature superconductors: an experimental survey
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Hidden Order in the Cuprates
• Scanning tunneling spectroscopy of high-temperature superconductors
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• The Nernst effect in high-$T_c$ superconductors
• The doping dependence of T* - what is the real high-Tc phase diagram?
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
• A fast Monte Carlo algorithm for site or bond percolation
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• 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
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• Diamagnetism and Cooper pairing above $T_c$ in cuprates
• Spontaneous time reversal symmetry breaking in the pseudogap state of high-Tc superconductors
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• The Antiferromagnetic Band Structure of La2CuO4 Revisited
• Disentangling Cooper-pair formation above Tc from the pseudogap state in the cuprates
• Particle-Hole Symmetry Breaking in the Pseudogap State of Bi2201
• Temporal correlations of superconductivity above the transition temperature in La${}_{2-x}$Sr${}_x$CuO${}_4$ probed by terahertz spectroscopy
• Coexistence of competing orders with two energy gaps in real and momentum space in high-Tc superconductor Bi2Sr2-xLaxCuO6+delta
• Imaging nanoscale Fermi surface variations in an inhomogeneous superconductor
• Superconducting Fluctuations, Pseudogap and Phase Diagram in Cuprates
• Ab Initio Evidence for the Formation of Impurity d(3z^2-r^2) Holes in Doped La_{2-x}Sr_xCuO_4
• Fermi surface dichotomy on systems with fluctuating order
• Universal Properties of Cuprate Superconductors: Tc Phase Diagram, Room-Temperature Thermopower, Neutron Spin Resonance, and STM Incommensurability Explained in Terms of Chiral Plaquette Pairing
• Chiral Plaquette Polaron Theory of Cuprate Superconductivity

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• Electronic structure of the ingredient planes of cuprate superconductor Bi2Sr2CuO6+δ: a comparison study with Bi2Sr2CaCu2O8+δ
• Mechanism of metallization and superconductivity suppression in YBa${}_2($Cu${}_{0.97}$Zn${}_{0.03}{)}_3$O${}_{6.92}$ revealed by ${}^{67}$Zn NQR
• Anisotropic evolution of energy gap in Bi2212 superconductor
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• Resistance of High-Temperature Cuprate Superconductors
• Fundamental building blocks of strongly correlated wave functions