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.

26 pages, 6 figures

References in corpus (14)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• 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
• Competing ferromagnetism in high temperature copper oxide superconductors
• High temperature superconductivity: from complexity to simplicity
• Resolution of two apparent paradoxes concerning quantum oscillations in underdoped high-$T_c$ 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 (8)

• Phase competition in trisected superconducting dome
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Quantum oscillations in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ from an incommensurate $d$-density wave order
• 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
• A theorem of Kohn applied to quantum oscillations in Cuprates