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The Hubbard model with intersite interaction within the Composite Operator Method

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Abstract.

We study the one- and two-dimensional extended Hubbard model by means of the Composite Operator Method within the 2-pole approximation. The fermionic propagator is computed fully self-consistently as a function of temperature, filling and Coulomb interactions. The behaviors of the chemical potential (global indicator) and of the double occupancy and nearest-neighbor density-density correlator (local indicators) are analyzed in detail as primary sources of information regarding the instability of the paramagnetic (metal and insulator) phase towards charge ordering driven by the intersite Coulomb interaction. Very rich phase diagrams (multiple first and second order phase transitions, critical points, reentrant behavior) have been found and discussed with respect to both metal-insulator and charge ordering transitions: the connections with the experimental findings relative to some manganese compounds are analyzed. Moreover, the possibility of improving the capability of describing cuprates with respect to the simple Hubbard model is discussed through the analysis of the Fermi surface and density of states features. We also report about the specific heat behavior in presence of the intersite interaction and the appearance of crossing points.

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Authors and Affiliations

  1. Dipartimento di Fisica “E.R. Caianiello” - Unitá di Ricerca INFM di Salerno, Universitá degli Studi di Salerno, 84081, Baronissi (SA), Italy

    A. Avella & F. Mancini

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  1. A. Avella
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  2. F. Mancini
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Correspondence to A. Avella.

Additional information

Received: 2 July 2004, Published online: 12 October 2004

PACS:

71.10.-w Theories and models of many-electron systems - 71.10.Fd Lattice fermion models (Hubbard model, etc.) - 71.27. + a Strongly correlated electron systems; heavy fermions

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Avella, A., Mancini, F. The Hubbard model with intersite interaction within the Composite Operator Method. Eur. Phys. J. B 41, 149–162 (2004). https://doi.org/10.1140/epjb/e2004-00304-9

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