Hartree-Fock calculations of the frustrated 2D Hubbard model

Motivated by recent work on the materials Na$_x$CoO$_2$$\cdot$ y$H$_2$O and a class of organic conductors ($\kappa$-(BEDT-TTF)$_2$X), where strongly correlated electrons are confined to a geometrically frustrated triangular lattice, we investigate the frustrated Hubbard model via mean-field theory. We report preliminary results from Hartree-Fock calculations of the charge and magnetic properties of our model on the triangular and square lattices. We also discuss the potential application of the constrained path quantum Monte Carlo (CPQMC) method to the study of frustrated 2D Fermi systems.