Abstract
Many-body perturbation theory up to second order in the Møller-Plesset partitioning has been used to calculate the correlation energy and the quasi-particle bands of a periodic two-dimensional system of hydrogen molecules. The exciton binding energies have been calculated using the first-order irreducible vertex part. The results have been compared to results obtained for corresponding one-dimensional systems. It was found that the transition from the one-dimensional to the two-dimensional case leads to a decrease of the fundamental band gap, and to an increase of the correlation energy and of the quasi-particle shifts.
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