Abstract:
We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a self-consistently embedded periodic cluster of size . It is a fully causal and systematic approximation to the full lattice problem, with corrections in two dimensions. The NCA we develop is a systematic approximation with corrections . The method will be discussed in detail and results for the one-particle properties of the Hubbard model are shown. Near half filling, the spectra display pronounced features including a pseudogap and non-Fermi-liquid behavior due to short-ranged antiferromagnetic correlations.
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Received 16 June 1999
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Maier, T., Jarrell, M., Pruschke, T. et al. A non-crossing approximation for the study of intersite correlations. Eur. Phys. J. B 13, 613–624 (2000). https://doi.org/10.1007/s100510050077
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DOI: https://doi.org/10.1007/s100510050077