Abstract
Abstract Using a quantum version of the Niemeijer-van Leeuwen scheme we perform a real-space renormalization-group analysis for the Ising and XY models on a triangular lattice with inhomogeneous interactions. Due to the presence of different interactions we are able to consider as well the Kagome lattice as a decorated triangular lattice in the limited cases. It is found that in this way we can investigate the flow diagrams and some thermodynamic properties of the models. For the Ising model the peaks in the specific heat are always connected with the presence of critical lines and are observed at the critical temperatures, while for the XY model their existence is not yet settled. For both models our results confirm universality with respect to inhomogeneous interactions.
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