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The two-dimensional Peierls-Hubbard model is studied at half-filling withinboth Hartree-Fork and Kotliar-Ruckenstein slave-boson theory. The interplaybetween two types of long-range order, bond-order wave (BOW) andantiferromagnetism (AFM), is analysed for two representative dimerizationpatterns, corresponding both to the same wavevector $(\pi,\pi)$. For eachpattern, the Peierls dimerization (and associated BOW) is weakened and finallysuppressed with increasing Hubbard on-site interaction, and correspondingly AFMis gradually enhanced. In particular, a coexistence regime with both BOW andAFM order is established in the parameter space of electron-lattice and Hubbardinteractions.Comment: 19 pages with 5 eps figures include

Coexistence of the bond-order wave and antiferromagnetism in a two-dimensional half-filled Peierls-Hubbard model