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Bibliographic Details
Main Authors: Matsuyama, Kazue, Greensite, Jeff
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.01280
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Table of Contents:
  • We consider states of BCS form in the 2D Hubbard model which, starting from some arbitrary point in state space in the neighborhood of a Hartree-Fock ground state, are relaxed within that BCS ansatz to local minima of the energy. As in the Hartree-Fock approximation there are a vast number of local minima, nearly degenerate in energy. What is new, and unlike the conventional Hartree-Fock states, is that there is a region in parameter space where these local minima are clearly associated with d-wave condensates of the form $d_{x^2-y^2}$ in the underdoped region. There are, however, indications of $d_{xy}$ condensation in the overdoped region, at least in this approximation to the 2D Hubbard model.