A Model of Strongly Correlated Electrons with Condensed Resonating-Valence-Bond Ground States

Abstract

We propose a new exactly solvable model of strongly correlated electrons. The model is based on a $d$-$p$ model of the CuO${}_2$ plane with infinitely large repulsive interactions on Cu-sites, and it contains additional correlated-hopping, pair-hopping and charge-charge interactions of electrons. For even numbers of electrons less than or equal to 2/3-filling, we construct the exact ground states of the model, all of which have the same energy and each of which is the unique ground state for a fixed electron number. It is shown that these ground states are the resonating-valence-bond states which are also regarded as condensed states in which all electrons are in a single two-electron state. We also show that the ground states exhibit off-diagonal long-range order.

arXiv comment17 pages, 1 figure, v2: minor changes, v3: minor changes and typos corrections

References in corpus (5)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• $\eta$-pairing as a mechanism of superconductivity in models of strongly correlated electrons
• Symmetry Breaking and Finite Size Effects in Quantum Many-Body Systems
• Strongly Interacting Luttinger Liquid and Superconductivity in an Exactly Solvable Model
• Exact ground-state correlation functions of the one-dimensional strongly correlated electron models with the resonating-valence-bond ground state

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