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International Journal of Quantum Chemistry

Off-diagonal long-range order, ?-pairing, and Friedel oscillations in high Tc cuprate superconductors and the ground state of the extended Hubbard model

Lawrence J. Dunne, John Norman Murrell, Erkki J. Br�ndas

Published Jan 1, 1997• 3 citations
Publisher

Abstract

It is argued that Yang's η-paired wave function is the electronic ground state of high Tc cuprate superconductors. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 675–684, 1997
DOI
10.1002/(sici)1097-461x(1997)63:3<675::aid-qua9>3.0.co;2-t

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Off‐diagonal long‐range order, η‐pairing, and Friedel oscillations in high Tc cuprate superconductors and the ground state of the extended Hubbard model

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Phase Transitions•Jun 1, 1996•0 citations
We consider NNN-particle generalizations of $\ensuremath{\eta}$-pairing states in a chain of NNN-component fermions and show that these states are exact (high-energy) eigenstates of an extended SU(N)\mathrm{SU}(N)SU(N) Hubbard model. We compute the singlet correlation function of the states and find that its behavior is qualitatively different for even and odd NNN. When NNN is even, these states exhibit off-diagonal long-range order in NNN-particle reduced density matrix. On the other hand, when NNN is odd, the correlations decay exponentially with distance in the bulk, but end-to-end correlations do not vanish in the thermodynamic limit. Finally, we prove that these states are the unique ground states of suitably tailored Hamiltonians.