Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals

Abstract

A model of copper-oxygen bonding and anti-bonding bands with the most general two-body interactions allowable by symmetry is considered. The model has a continuous transition as a function of hole-density x and temperature T to a phase in which a current circulates in each unit cell. This phase preserves the translational symmetry of the lattice while breaking time-reversal invariance and the four-fold rotational symmetry. The product of time-reversal and four-fold rotation is preserved. The circulating current phase terminates at a critical point at $x=x_c,T=0$. In the quantum-critical region about this point the logarithm of the frequency of the current fluctuations scales with their momentum. The microscopic basis for the marginal Fermi-liquid phenemenology and the observed long wavelength transport anomalies near $x=x_c$ are derived from such fluctuations. The symmetry of the current fluctuations is such that the associated magnetic field fluctuations are absent at oxygen sites and have the correct form to explain the anomalous copper nuclear relaxation rate. Cross-overs to the Fermi-liquid phase on either side of $x_c$ and the role of disorder are briefly considered. The current fluctuations promote superconductive instability with a propensity towards ``D-wave" symmetry or ``extended S-wave"symmetry depending on details of the band-structure.

85 pages RevTex,15 figures available from the author

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• Influence of non-magnetic impurities on hole doped two-leg Cu-O Hubbard ladders
• Spin rotational symmetry breaking by orbital current patterns in two-leg ladders.
• Weak Ferromagnetism Accompanying Loop current order in Underdoped Cuprates
• Unconventional ${}^{17}$O and ${}^{63}$Cu NMR shift components in cuprate superconductors
• The Influence of Quantum Critical Fluctuations of Circulating Current Order Parameters on the Normal State Properties of Cuprates
• Quasi-particle dephasing time in disordered d-wave superconductors
• The Future of the Correlated Electron Problem
• Interplay of Charge Density Wave and Magnetism on the Kagomé Lattice
• Implications of second harmonic generation for hidden order in Sr${}_2$CuO${}_2$Cl${}_2$
• Nature of the enigmatic pseudogap state: novel magnetic order in superconducting HgBa2CuO4+d
• Strong-coupling expansion of multi-band interacting models: mapping onto the transverse-field $J_1$-$J_2$ Ising model
• Low-energy signatures of charge and spin fluctuations in Raman and optical spectra of the cuprates
• Origin of switchable quasiparticle-interference chirality in loop-current phase of kagome metals measured by scanning-tunneling-microscopy
• Strong correlation, electron-phonon interaction and critical fluctuations: Isotope effect, pseudogap formation, and phase diagram of the cuprates
• Josephson diodes induced by the loop current states
• Exotic $Z_2$ Symmetry Breaking Transitions in 2D Correlated Systems
• Spin loop-current textures in Hubbard models
• Dynamical charge and spin density wave scattering in cuprate superconductor
• Antiferromagnetic pseudogap in the two-dimensional Hubbard model deep in the renormalized classical regime
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Phase-sensitive evidence for pair density waves in a kagome superconductor
• Time-reversal asymmetry without local moments via directional scalar spin chirality
• Developments in Correlated Fermions
• Effects of the pseudogap and the Fermi surface on the rapid Hall-coefficient changes in cuprates
• Electronic Liquid Crystal Phases in Strongly Correlated Systems
• Nonequilibrium control of kagome metals
• Excitonic instabilities and spontaneous time-reversal symmetry breaking on the honeycomb lattice
• Theory of the Magnetic Resonance for the High-$T_C$ Copper-Oxide Superconductors
• Local magnetic moments due to loop currents in metals
• Spontaneous time-reversal symmetry breaking without magnetism in a $S=1$ chain
• Spontaneous loop-spin current with topological characters in the Hubbard model
• Loop-current order through the kagome looking glass
• Self-energy effects in cuprates and the dome-shaped behavior of the superconducting critical temperature
• Anomalous Resonance of the Symmetric Single-Impurity Anderson Model in the Presence of Pairing Fluctuations
• Development of spin fluctuations under the presence of $d$-wave bond order in cuprate superconductors
• Quantum-critical resistivity of strange metals in a magnetic field
• Three-dimensional Stacking of Canted Antiferromagnetism and Pseudospin Current in Undoped Sr${}_2$IrO${}_4$: Symmetry Analysis and Microscopic Model Realization
• General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking
• Nexus between quantum criticality and the chemical potential pinning in high-$T_c$ cuprates
• Empirical case for two pseudogaps in cuprate superconductors
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
• Intra-unit-cell Magnetic Order in Stoichiometric La${}_2$CuO${}_4$
• Inter-Layer Correlation of Loop Current Charge Density Wave on the Bilayer Kagomé Lattice
• Kohn-Luttinger-like mechanism for unconventional charge density waves
• Giant Impurity Effects on Charge Loop Current Order States in Kagome Metals
• Normal state Nernst effect from bi-directional bond density wave state in high T_c cuprates
• Spectroscopic evidences of quantum critical charge fluctuations in cuprates
• Artificial electrostatic crystals: a new platform for creating correlated quantum states
• Microscopic model realization of $\mathbf{d}$-wave pseudospin current order in Sr${}_2$IrO${}_4$
• Quantitative Determination of the Pairing Interactions for High Temperature Superconductivity in Cuprates
• Time-Reversal Symmetry-Breaking Flux State in an Organic Dirac Fermion System
• Quantum-critical transport in marginal Fermi liquids
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Partial quantum statistics and its implications for narrow band materials
• Evolution of magnetic correlation in an inhomogeneous square lattice
• Novel quantum criticality due to emergent topological conservation law in high-$T_c$ cuprates
• Spontaneous Currents in Spinless Fermion Lattice Models at the Strong-Coupling Limit
• Unravelling the glue and the competing order in superconducting cuprates
• Modeling of Ballistic Electron Emission Microscopy on metal thin films
• Quantum Spin Hall Effect in a Three-orbital Tight-binding Hamiltonian
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Microscopic evidence for imaginary charge density wave in a kagome metal
• Topological pair density waves in kagome superconductors
• Fermi-liquid behaviors in three-dimensional polaron system with tunable dispersion
• Condensation mechanism of high-$T_c$ cuprates: the key role of pairon excitations
• Thermal and Quantum Fluctuations Induced Additional Gap in Single-particle Spectrum of d-p model
• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition