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Springer proceedings in physics

The Dynamic Spin Susceptibility as a Test for Models of High-T c Superconductivity

Thomas Maurice Rice

Published Jan 1, 1992• 6 citations
Publisher
DOI
10.1007/978-3-642-77154-5_64

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We consider hard-core fermions on a single-band lattice additionally with nearest-neighbor two-site and three-site two-body interactions. We derive exact high-temperature expansions of the superconducting susceptibilities and correlation functions for different pair symmetries. These results can serve as a useful test of approximate theories. As an example, a mean-field treatment of the nearest-neighbor interactions is found to underestimate the susceptibility enhancement. In addition, the three-site interaction appears in the exact expansion to be as important as the two-site interaction, even in the case of nearly localized spins.
A mechanism of superconductivity coming from the doping of mobile fermions into the spin dimerized insulator such as spin Peierls state, valence bond glass, Heisenberg spins with next nearest neighbor exchange coupling and the Haldane gap state is discussed. The doping of fermions with narrow band into a Mott insulator with a spin gap results in the superconducting long range order in two- and three-dimensions, while results in the power law divergence of the pairing susceptibility with Tomonaga-Luttinger liquid character of charge in one-dimension. An example of numerical calculation in one-dimension is shown. The possible relevance of this mechanism to high-temperature superconductivity, where dynamical coupling of lattice distortion to spin may play a crucial role, is discussed. A relevant model Hamiltonian with spin-phonon coupling and dynamical spin-Peierls fluctuation is proposed.
Spin response in high-TcT_{c}Tc​ superconductors at higher energies