Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-09-27
Physics
Condensed Matter
Strongly Correlated Electrons
13 pages, 6 figures e-mails: rfranco@if.uff.br, figueira@if.uff.br, foglio@ifi.unicamp.br
Scientific paper
10.1016/S0378-4371(02)00575-7
The Periodic Anderson Model (PAM) in the $U\to\infty$ limit has been studied in a previous work employing the cumulant expansion with the hybridization as perturbation (M. S. Figueira, M. E. Foglio and G. G. Martinez, Phys. Rev. B \textbf{50}, 17933 (1994)). When the total number of electrons $N_{t}$ is calculated as a function of the chemical potential $\mu$ in the ``Chain Approximation'' (CHA), there are three values of the chemical potential $\mu$ for each $N_{t}$ in a small interval of $N_{t}$ at low $T$ (M. S Figueira, M. E Foglio, Physica A 208 (1994)). We have recently introduced the ``X-boson'' method, inspired in the slave boson technique of Coleman, that solves the problem of non conservation of probability (completeness) in the CHA as well as removing the spurious phase transitions that appear with the slave boson method in the mean field approximation. In the present paper we show that the X-boson method solves also the problem of the multiple roots of $N_{t}(\mu)$ that appear in the CHA.
Figueira M. S.
Foglio M. E.
Franco Riccardo
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