https://doi.org/10.1140/epjb/e2003-00139-x
Nature of correlations in the atomic limit of the boson fermion model
Institute of Physics,
M. Curie Skłodowska University,
20-031 Lublin, Poland
Corresponding author: a doman@kft.umcs.lublin.pl
Received:
31
January
2003
Revised:
18
March
2003
Published online:
23
May
2003
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.
PACS: 74.20.Mn – Nonconventional mechanisms (spin fluctuations, polarons and bipolarons, resonating valence bond model, anyon mechanism, marginal Fermi liquid, Luttinger liquid, etc.) / 74.25.Bt – Thermodynamic properties / 71.10.Li – Excited states and pairing interactions in model systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003