Abstract:
Using the equation of motion technique for Green's functions we derive the exact solution of the boson fermion model in the atomic limit. Both (fermion and boson) subsystems are characterised by the effective three level excitation spectra. We compute the spectral weights of these states and analyse them in detail with respect to all possible parameters. Although in the atomic limit there is no true phase transition, we notice that upon decreasing temperature some pairing correlations start to appear. Their intensity is found to be proportional to the depleted amount of the fermion nonbonding state. We notice that pairing correlations behave in a fashion observed for the optimally doped and underdoped high Tc superconductors. We try to identify which parameter of the boson fermion model can possibly correspond to the actual doping level. This study clarifies the origin of pairing correlations within the boson fermion model and may elucidate how to apply it for interpretation of experimental data.
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Received 31 January 2003 / Received in final form 18 March 2003 Published online 23 May 2003
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ID="a"e-mail: doman@kft.umcs.lublin.pl
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Domański, T. Nature of correlations in the atomic limit of the boson fermion model. Eur. Phys. J. B 33, 41–45 (2003). https://doi.org/10.1140/epjb/e2003-00139-x
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DOI: https://doi.org/10.1140/epjb/e2003-00139-x