Key issues in theories of high temperature superconductors

Abstract

High temperature superconductivity in cuprate superconductors remains an unsolved problem in theoretical physics. The same statement can also be made about a number of other superconductors that have been dubbed unconventional. What makes these superconductors so elusive is an interesting question in itself. The present manuscript focuses on the recent magnetic oscillation experiments and how they fit into the broader picture. Many aspects of these experiments can be explained by Fermi liquid theory; the key issue is the extent to which this is true. If true, the entire paradigm developed over the past three decades must be reexamined. A critical analysis of this issue has necessitated a broader analysis of questions about distinct ground states of matter, which may be useful in understanding other unconventional superconductors.

arXiv comment26 pages, 6 figures

References in corpus (43)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Lectures on holographic methods for condensed matter physics
• How to detect fluctuating order in the high-temperature superconductors
• Renormalization Group Approach to Interacting Fermions
• Hidden Order in the Cuprates
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Superconductivity in Fullerides
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Progress and perspectives on the electron-doped cuprates
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Order and quantum phase transitions in the cuprate superconductors
• On the low energy properies of fermions with singular interactions
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Non-Fermi Liquid Fixed Point in 2+1 Dimensions
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Density Wave States of Non-Zero Angular Momentum
• Coexistence of Fermi arcs and Fermi pockets in a high Tc copper oxide superconductor
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• Renormalization Group Approach to Low Temperature Properties of a Non-Fermi Liquid Metal
• de Haas-van Alphen oscillations in the underdoped cuprate YBa${}_2$Cu${}_3$O${}_{6.5}$
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Multiple Quantum Oscillations in the de Haas van Alphen Spectra of the Underdoped High Temperature Superconductor YBa_2Cu_3O_6.5
• Effective Field Theory and the Fermi Surface
• Angle-dependence of quantum oscillations in YBa2Cu3O6.59 shows free spin behaviour of quasiparticles
• Magnetic quantum oscillations in YBa${}_2$Cu${}_3$O${}_{6.61}$ and YBa${}_2$Cu${}_3$O${}_{6.69}$ in fields of up to 85 T; patching the hole in the roof of the superconducting dome
• Angle-resolved photoemission spectra in the cuprates from the d-density wave theory
• Competing ferromagnetism in high temperature copper oxide superconductors
• Theory of d-density wave viewed from a vertex model and its implications
• High temperature superconductivity: from complexity to simplicity
• Fermi-surface reconstruction and two-carrier model for the Hall effect in YBa2Cu4O8
• Luttinger theorem for a spin-density-wave state
• Spin-order driven Fermi surface revealed by quantum oscillations in an underdoped high Tc superconductor
• Spectral Anomaly and High Temperature Superconductors
• The effects of magnetic field on the d-density wave order in the cuprates
• Resolution of two apparent paradoxes concerning quantum oscillations in underdoped high-$T_c$ superconductors
• Magnetization, Nernst effect and vorticity in the cuprates
• Robustness of d-Density Wave Order to Nonmagnetic Impurities
• Quantum oscillations in electron doped high temperature superconductors
• Quantum oscillations in graphene in the presence of disorder and interactions
• Singlet versus triplet particle-hole condensates in quantum oscillations in cuprates

Cited by in corpus (22)

• Phase competition in trisected superconducting dome
• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+x
• Novel magnetic order in pseudogap state of high Tc copper oxides superconductors
• Spatially Modulated Electronic Nematicity in the Three-Band Model of Cuprate Superconductors
• Hartree-Fock Computation of the High-Tc Cuprate Phase Diagram
• Low-Temperature Pseudogap Phenomenon: Precursor of High-$T_c$ Superconductivity
• Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual
• Isotope effects in high-Tc cuprate superconductors: Ultimate proof for bipolaron theory of superconductivity
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Evolution of Holographic Fermi Arcs from a Mott Insulator
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Superconducting condensate residing on small Fermi pockets in underdoped cuprates
• Quantum oscillations in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ from an incommensurate $d$-density wave order
• Current-current Fermi-liquid corrections to the superconducting fluctuations on conductivity and diamagnetism
• Magnetic breakdown and quantum oscillations in electron-doped high temperature superconductor $\mathrm{N}{\mathrm{d}}_{2-\mathrm{x}}\mathrm{C}{\mathrm{e}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Notes on Quantum oscillation for Hatsugai-Kohmoto model
• Ground state and spectral properties across a Charge Density Wave transition in a triangular-lattice spinless Fermion model
• Onsager rule, quantum oscillation frequencies, and the density of states in the mixed-vortex state of cuprates
• A theorem of Kohn applied to quantum oscillations in Cuprates
• On d+id density wave and superconducting orderings in hole-doped cuprates