Journal of Physical Studies 2(2), 228–231 (1998)
DOI: https://doi.org/10.30970/jps.02.228

LOCAL QUANTITIES FOR THE 1D HUBBARD MODEL IN THE COMPOSITE OPERATOR METHOD

A. Avella, F. Mancini, M. M. Sánchez, D. Villani
Università degli Studi di Salerno - Unità INFM di Salerno
Dipartimento di Scienze Fisiche ”E. R. Caianiello”
84081 Baronissi (SA), Italy &
F. D. Buzatu
National Institute for Physics and Nuclear Engineering
Dept. of Theoretical Physics, 76900 M\u agurele, Bucharest, Romania

The discovery of new materials with properties dominated by strong correlations among electrons has opened the problem of new appropriate calculation schemes. In the case of 1D models the Bethe ansatz provides an exact evaluation of many relevant physical quantities, but not a complete framework. By way of developing new methods appropriate to strongly correlated systems, we study the 1D Hubbard model by means of the Composite Operator Method. We investigate various local quantities. A comparison with exact results and other analytical approaches show a reasonable agreement and determine the applicability range of our approximate scheme.

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