Determinant Quantum Monte Carlo Studies of the Single-band Hubbard-Holstein Model

The role of the electron-phonon (el-p) interaction in strongly correlated systems, such as the transition metal oxides, has attracted considerable interest. In this talk we will present Determinant Quantum Monte Carlo results on the single-band Hubbard-Holstein model at half-filling. The competition between charge-density wave, antiferromagnetic and superconducting order will be examined as a function of temperature, el-ph coupling strength and Hubbard U. Here, we report a suppression of antiferromagnetic order with increasing el-ph coupling with a marked increase in this effect as the polaronic limit is reached. In addition, the impact of the el-ph interaction on the single-particle spectral function will be presented for both the weak and strong el-ph coupling limits.