Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-09-06
Advances in Physics 53, 537 (2004)
Physics
Condensed Matter
Strongly Correlated Electrons
232 pages, more than 300 figures, more than 500 references
Scientific paper
10.1080/00018730412331303722
The Hubbard model has a special role in Condensed Matter Theory as it is considered as the simplest Hamiltonian model one can write in order to describe anomalous physical properties of some class of real materials. Unfortunately, this model is not exactly solved except for some limits and therefore one should resort to analytical methods, like the Equations of Motion Approach, or to numerical techniques in order to attain a description of its relevant features in the whole range of physical parameters (interaction, filling and temperature). In this manuscript, the Composite Operator Method, which exploits the above mentioned analytical technique, is presented and systematically applied in order to get information about the behavior of all relevant properties of the model (local, thermodynamic, single- and two- particle ones) in comparison with many other analytical techniques, the above cited known limits and numerical simulations. Within this approach, the Hubbard model is shown to be also capable to describe some anomalous behaviors of the cuprate superconductors.
Avella Adolfo
Mancini Ferdinando
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