Magnetic Instability in Strongly Correlated Superconductors

Abstract

Recently a new phenomenological Hamiltonian has been proposed to describe the superconducting cuprates. This so-called Gossamer Hamiltonian is an apt model for a superconductor with strong on-site Coulomb repulsion betweenthe electrons. It is shown that as one approaches half-filling the Gossamer superconductor, and hence the superconducting state, with strong repulsion is unstable toward an antiferromagnetic insulator an can undergo a quantum phase transition to such an insulator if one increases the on-site Coulomb repulsion.

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• Personal history of my engagement with cuprate superconductivity, 1986-2010
• Theory for Gossamer and Resonating Valence Bond Superconductivity
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• A non-BCS mechanism for superconductivity in underdoped cuprates via attraction between spin vortices
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• Properties of the doped spin 3/2 Mott insulator near half filling
• t-t'-J-U model in mean-field approximation: Coexistence of superconductivity and antiferromagnetism
• Electron pairing and evidence of a BCS-BEC crossover in d-wave superconductors
• One-band Hubbard model with hopping asymmetry and the effective theory at finite U: Phase diagram and metal-insulator transition
• One-dimensional Cooper pairing