Itinerant antiferromagnetism in the Mott compound V1.973O3

Exact mapping of the d(x(2)-y(2)) Cooper-pair wavefunction onto the spin fluctuations in cuprates: the Fermi surface as a driver for 'high T(c)' superconductivity

We propose that the extraordinarily high superconducting transition temperatures in the cuprates are driven by an exact mapping of the d(x(2)-y(2)) Cooper-pair wavefunction onto the incommensurate spin fluctuations observed in neutron-scattering experiments. This is manifested in the direct correspondence between the inverse of the incommensurability factor δ seen in inelastic neutron-scattering experiments and the measured superconducting coherence length ξ(0). Strikingly, the relationship between ξ(0) and δ is valid for both La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(7-x), suggesting a common mechanism for superconductivity across the entire hole-doped cuprate family. Using data from recent quantum-oscillation experiments in the cuprates, we propose that the fluctuations responsible for superconductivity are driven by a Fermi-surface instability. On the basis of these findings, one can specify the optimal characteristics of a solid that will exhibit 'high T(c)' superconductivity.

Developments of the theory of spin fluctuations and spin fluctuation-induced superconductivity

Theory of spin fluctuations as developed in the past 30 years have played important roles in the theory of magnetism in metals, particularly in elucidating the properties around the magnetic instability or quantum critical points. Recently the theory has been extended to deal with the spin fluctuaion-mediated superconductivity with anisotropic order parameters in strongly correlated electron systems. These theoretical developments are briefly reviewed and the high temperature superconductivity of cuprates and organic and heavy electron superconductors are discussed in the light of these theories.