High Temperature Superconductivity in the Cuprates: Materials, Phenomena and a Mechanism

Abstract

Superconductivity in the cuprates, discovered in the late 1980s and occurring at unprecedentedly high temperatures (up to about 140K) in about thirty chemically distinct families, continues to be a major problem in physics. In this article, after a brief introduction of these square planar materials with weak interlayer coupling, we mention some of the salient electronic properties of hole doped cuprates such as the pseudogap phase and the Fermi arc . We then outline a phenomenological, Ginzburg Landau like theory developed by some of us for the emergent d-wave symmetry superconductivity in these materials, and confronted successfully with a large amount of experimental information. A more recent application of the approach to fluctuation diamagnetism and to the anomalously large Nernst effect is also discussed.

49 pages, 29 figures

References in corpus (17)

• Theory of Intertwined Orders in High Temperature Superconductors
• Scanning tunneling spectroscopy of high-temperature superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• 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 Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Controlling Feynman diagrammatic expansions: physical nature of the pseudo gap in the two-dimensional Hubbard model
• Decrease of upper critical field with underdoping in cuprate superconductors
• Electronic phase diagram of high temperature copper oxide superconductors
• Nernst effect and diamagnetism in phase fluctuating superconductors
• 4D-XY quantum criticality in a doped Mott insulator
• The correlation between the Nernst effect and fluctuation diamagnetism in strongly fluctuating superconductors

Cited by in corpus (4)

• Anomalous electron transport in epitaxial NdNiO${}_3$ films
• Heteroanionic Stabilization of Ni${}^{1+}$ with Nonplanar Coordination in Layered Nickelates
• Monte Carlo Simulation of Anisotropic Ising Model Using Metropolis and Wolff Algorithm
• Mott and Wiedemann Franz Law for Monolayer Graphene for Different Scattering Mechanisms