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Bulletin of the American Physical Society

Antiferromagnetism and d-wave superconductivity in the one-band Hubbard model using V-CPT

A.–M. S. Tremblay, David Sénéchal, Pierre-Luc Lavertu, Marc-Andr 'e Marois

Published Mar 24, 2005• 0 citations
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Recent studies reported that antiferromagnetic (AF) states become stable and d -wave superconducting ( d -SC) states are almost excluded in underdoped strongly correlated Hubbard models in two dimensions. In a viewpoint of many-body variational theory, this result stems from a band-renormalization effect (BRE) in AF states. Here, using a variational Monte Carlo method, BRE on AF and d -SC states are studied in the t-t'-J model, in which d -SC (AF) states have been considered to be more stable (fragile) than in the Hubbard model. Many features are qualitatively similar to the Hubbard model including effectiveness of BRE and the existence of a Lifshitz transition in AF states. However, a d -SC state becomes more stable than an AF state widely in the underdoped regime for J/t =0.3, in contrast to the Hubbard model.
The electronic state of high-temperature cuprates is investigated on the basis of the two-dimensional Hubbard model. We investigate the three-band Hubbard model (which is sometimes called the d-p model) as well as the single-band Hubbard model. In particular, the three-band Hubbard model with d and p orbitals in the CuO 2 plane probably captures the physics of high-temperature superconductivity. Numerical studies of the two-dimensional d-p and Hubbard models have shown that they exhibit antiferromagnetism, stripes, d-wave pairing, coexistent antiferromagnetism with superconductivity, and arc spectra. They are basic phenomena seen in the high-temperature cuprates.