Mode-Coupling Model of Mott Gap Collapse in the Cuprates: Natural Phase Boundary for Quantum Critical Points

Abstract

A simple antiferromagnetic approach to the Mott transition was recently shown to provide a satisfactory explanation for the Mott gap collapse with doping observed in photoemission experiments on electron-doped cuprates. Here this approach is extended in a number of ways. RPA, mode coupling (via self-consistent renormalization), and (to a limited extent) self-consistent Born approximation calculations are compared to assess the roles of hot-spot fluctuations and interaction with spin waves. When fluctuations are included, the calculation satisfies the Mermin-Wagner theorem, and the mean-field gap and transition temperature are replaced by pseudogap and onset temperature. The model is in excellent agreement with experiments on the doping dependence of both photoemission dispersion and magnetic properties. The magnetic phase terminates in a quantum critical point (QCP), with a natural phase boundary for this QCP arising from hot-spot physics. Since the resulting T=0 antiferromagnetic transition is controlled by a generalized Stoner factor, an ansatz is made of dividing the Stoner factor up into a material-dependent part, the bare susceptibility and a correlation-dependent part, the Hubbard U, which depends only weakly on doping. From the material dependent part of the interaction, it is possible to explain the striking differences between electron- and hole-doping, despite an approximate symmetry in the doping of the QCP. The slower divergence of the magnetic correlation length in hole doped cuprates may be an indication of more Mott-like physics.

This replaces cond-mat/0308469. 50 eps figures, revtex [Version 1 had included old file]

References in corpus (12)

• Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Transport criticality of the first-order Mott transition in a quasi-two-dimensional organic conductor, $\kappa$-(BEDT-TTF)${}_2$Cu[N(CN)${}_2$]Cl
• Pseudogap and Spin Fluctuations in the Normal State of Electron-Doped Cuprates
• Evolution of a Metal to Insulator Transition in Ca${}_{2-x}$Na${}_x$CuO${}_2$Cl${}_2$, as seen by ARPES
• Spin Correlations and Magnetic Order in Nonsuperconducting Nd_{2-x}Ce_xCuO_{4\pmδ}
• Fermi surface evolution in the antiferromagnetic state for the electron-doped t-t'-t''-J model
• The Full Mottness
• Single-Particle Spectrum in the Electron-Doped Cuprates
• Correlation length in cuprates deduced from the impurity-induced magnetization
• Spin waves in La_2CuO_4: band structure and correlation effects

Cited by in corpus (30)

• Spin correlations in the electron-doped high-transition-temperature superconductor Nd{2-x}Ce{x}CuO{4+/-delta}
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• One-band tight-binding model parametrization of the high-$T_c$ cuprates, including the effect of $k_z$-dispersion
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Evolution of Mid-gap States and Residual 3-Dimensionality in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Intermediate Coupling Model of the Cuprates
• A competing order scenario of two-gap behavior in hole doped cuprates
• Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
• Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping
• Self-Organized Networks and Lattice Effects in High Temperature Superconductors
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• Role of the van Hove Singularity in the Quantum Criticality of the Hubbard Model
• Non-Fermi liquid and pairing in electron-doped cuprates
• Phase separation in the vicinity of "quantum critical" doping concentration: implications for high temperature superconductors
• Anisotropic softening of collective charge modes in the vicinity of critical doping in a doped Mott insulator
• Doping dependence of the electron-doped cuprate superconductors from the antiferromagnetic properties of the Hubbard model
• Strong- and weak-coupling mechanisms for pseudogap in electron-doped cuprates
• Resonant inelastic X-ray scattering in a Mott insulator
• Implication of the Mott-limit violation in high-Tc cuprates
• Nanoscale phase separation in deep underdoped Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ and Ca${}_2$CuO${}_2$Cl${}_2$
• Coexisting pseudogap, charge transfer gap, and Mott gap energy scales in the resonant inelastic x-ray scattering spectra of electron-doped cuprates
• Interlayer Coupling Induced Quasiparticles
• Strong correlation effects and optical conductivity in electron doped cuprates
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Long-Range Coulomb Effect on the Antiferromagnetism in Electron-doped Cuprates
• High-order Van Hove singularities in cuprates and related high-Tc superconductors
• Fluctuation-Exchange Study of Antiferromagnetism in Electron-Doped Cuprate Superconductors with Disorder
• Theory of antiferromagnetism in the electron-doped cuprate superconductors
• A field-theoretical approach to the extended Hubbard model
• A first-principles-based study of the thermodynamics of competing low-energy states in correlated materials: Example of cuprates