Huber, D. (2021). Dynamical mean-field theory for hard-core bosons [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2021.88340
We formulate dynamical mean-field theory for hard-core bosons by extending bosonic DMFT with broken canonical commutation relations to use for LaCoO3, amongst others. Pointwise convergence of results with finite on-site repulsion toresults with explicit hard-core constraints is found by simulations of different models. Further we find, that a formulation analogous to Dyson-Mori form for fermions is not generally applicable for hard-core bosons due to a divergence at half filled lattice. Last we show a phase transition visible in the occupation of sublattices which can be driven by a change of coupling constants.
