Phenomenological model of protected behavior in the cuprate superconductors

Abstract

By extending previous work on the scaling of low frequency magnetic properties of the 2-1-4 cuprates to the 1-2-3 materials, we arrive at a consistent phenomenological description of protected behavior in the pseudogap state of the magnetically underdoped cuprates. Between zero hole doping and a doping level of $\sim 0.22$ it reflects the presence of a mixture of an insulating spin liquid that produces the measured magnetic scaling behavior and a Fermi liquid that becomes superconducting for doping levels $x>0.06$. Our analysis suggests the existence of two quantum critical points, at doping levels, $x\sim 0.05$ and $x\sim 0.22$, and that d-wave superconductivity in the pseudogap region arises from quasiparticle-spin liquid interaction, i.e. magnetic interactions between quasiparticles in the Fermi liquid induced by their coupling to the spin liquid excitations.

arXiv comment4 pages, 4 figures

References in corpus (9)

• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• The pseudogap: friend or foe of high Tc?
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Magnetic scaling in cuprate superconductors
• Self-generated electronic heterogeneity and quantum glassiness in the high temperature superconductors
• Pseudogap behavior of nuclear spin relaxation in high Tc superconductors in terms of phase separation

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• Scaling analysis of normal state properties of high-temperature superconductors
• Universal Behavior and the Two-component Character of Magnetically Underdoped Cuprate Superconductors
• Spin Susceptibility in Underdoped Cuprates: Insights from a Stripe-Ordered Crystal
• Toward a New Microscopic Framework for Kondo Lattice Materials
• Spin Fluctuations and the Pseudogap in Organic Superconductors
• Antiferromagnetic Spin Fluctuations and the Pseudogap in the Paramagnetic Phases of Quasi-Two-Dimensional Organic Superconductors
• Antiferromagnetic Spin Fluctuations in the Metallic Phase of Quasi-Two-Dimensional Organic Superconductors
• High Temperature Superconductivity - Magnetic Mechanisms