Theory of Superconductivity in the Cuprates

Abstract

The quantum critical fluctuations of the time-reversal breaking order parameter which is observed in the pseudogap regime of the Cuprates are shown to couple to the lattice equivalent of the local angular momentum of the fermions. Such a coupling favors scattering of fermions through angles close to $\pm \pi /2$ which is unambiguously shown to promote d-wave pairing. The right order of magnitude of both $T_c$ and the normalized zero temperature gap $\Delta /T_c$ are calculated using the same fluctuations which give the temperature, frequency and momentum dependence of the the anomalous normal state properties for dopings near the quantum-critical value and with two parameters extracted from fit to such experiments.

Accepted for publication in PRB with the title "Theory of the coupling of quantum-critical fluctuations to fermions and d-wave superconductivity in the cuprates"

References in corpus (11)

• 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
• Observation of Magnetic Order in a $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.6}$ Superconductor
• Orbital currents in extended Hubbard models of high-T${}_c$ cuprates
• Theory of the Quantum Critical Fluctuations in Cuprates
• The "Strange Metal" is a Projected Fermi Liquid with Edge Singularities
• Quantum-Criticality in Dissipative Quantum Two-Dimensional XY and Ashkin-Teller Models: Application to the Cuprates
• Considerations on the symmetry of loop order in cuprates
• Finite band inversion of ARPES in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ in comparison with optics
• Universality of the single-particle spectra of cuprate superconductors
• Effective theory of fluctuating circulating currents in high-Tc cuprates

Cited by in corpus (41)

• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Linear in Temperature Resistivity and Associated Mysteries
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Phase Diagram of a Three Orbital Model for the high-T${}_c$ cuprates
• Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian
• Quantum-Critical Fluctuations in 2D Metals: Strange Metals and Superconductivity in Antiferromagnets and in Cuprates
• Quantum critical scaling at the edge of Fermi liquid stability in a cuprate superconductor
• One-Component Order Parameter in URu${}_2$Si${}_2$ Uncovered by Resonant Ultrasound Spectroscopy and Machine Learning
• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• Loop currents in quantum matter
• Proposed Chiral Texture of the Magnetic Moments of Unit-Cell Loop Currents in the Pseudogap Phase of Cuprate Superconductors
• Two Ising-like magnetic excitations in a single-layer cuprate superconductor
• Magneto-Chiral Kerr effect with application to the cuprates
• Quantum Criticality in Quasi-Two Dimensional Itinerant Antiferromagnets
• Theory of High-Tc Superconductivity: Transition Temperature
• Theory of High-Tc Superconductivity: Accurate Predictions of Tc
• Topological Excitations near the Local Critical Point in the Dissipative 2D XY model
• Collective Modes in the Loop Ordered Phase of Cuprates
• Chiral spin-order in some purported Kitaev spin-liquid compounds
• Pseudogap and Fermi-arcs in underdoped cuprates
• Gyrotropic Birefringence in the Under-doped Cuprates
• High Temperature Superconductivity in the Cuprates
• Theory of Polarized Neutron Scattering in the Loop Ordered Phase of Cuprates
• Analysis of Laser ARPES from Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ in superconductive state: angle resolved self-energy and fluctuation spectrum
• Extraction of Electron Self-Energy and Gap Function in the Superconducting State of Bi_2Sr_2CaCu_2O_8 Superconductor via Laser-Based Angle-Resolved Photoemission
• Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
• Superconductivity due to fluctuating loop currents
• Investigation of potential fluctuating intra-unit cell magnetic order in cuprates by muon spin relaxation
• Superconducting interaction charge in thallium-based high-Tc cuprates: Roles of cation oxidation state and electronegativity
• Collective Modes in the Loop Current Ordered Phase of Cuprates
• Quantum criticality in a dissipative (2+1)-dimensional XY model of circulating currents in high-Tc cuprates
• Intrinsic Anomalous Hall Effect in Magneto-Chiral States
• The dynamically induced Fermi arcs and Fermi pockets in two dimensions: a model for underdoped cuprates
• Fractionalize This
• Kohn-Luttinger-like mechanism for unconventional charge density waves
• Quantitative Determination of the Pairing Interactions for High Temperature Superconductivity in Cuprates
• Quantum-critical resistivity of strange metals in a magnetic field
• Comments on the d-wave pairing mechanism for cuprate high $T_c$ superconductors: Higher is different?
• Quantum-critical transport in marginal Fermi liquids
• Screened superexchange mechanism for superconductivity applied to cuprates
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model