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Charge-density-wave-gap formation in the two-dimensional Holstein model at half-filling.

We use a combination of quantum Monte Carlo (QMC) methods and analytic continuation techniques to study the formation of charge-density-wave (CDW) gaps at half-filling in the two-dimensional Holstein model. From QMC data for the dressed unequal-time Green's function G(τ,p) we calculate the real frequency spectral function A(ω,p) for different temperatures T, electron-phonon coupling constants g, phonon frequencies ω 0 , and spatial lattice sizes N. We also compute the spectral functions by approximate diagrammatic methods and find these results to be in good qualitative agreement with the QMC results