Abstract:
Some metallic quantities are calculated on the grounds of Tsallis generalized statistics: the specific heat at constant volume, c V (T); the chemical potential, \(\mu (T)\); the Pauli paramagnetic susceptibility,X(T) and the Korringa constant, CK. First it is found that for a general value of q, the Sommerfeld expansion series will exhibit both, odd and even terms, contrary to what is obtained if we use the Fermi-Dirac (FD) statistics, where only even terms appear. It follows that: (i) the specific heat coefficient,μ, is q-dependent, but the temperature dependence of cV remains linear, as in the FD case; (ii) the Fermi energy, EF, differs from the chemical potential by a linear term in T, and not quadratic, as in FD, the same happening for x(T) (iii) the Korringa constant is q-dependent, but not T-dependent. In the limit \(q \to 1\) the results of FD statistics are recovered. Metallic thin films and multilayers exhibiting fractal surface structures are possible systems where the present results could be tested.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 30 June 1999 and Received in final form 7 September 1999
Rights and permissions
About this article
Cite this article
Oliveira, I. Some metallic properties in the framework of Tsallis generalized statistics. Eur. Phys. J. B 14, 43–46 (2000). https://doi.org/10.1007/s100510050104
Issue Date:
DOI: https://doi.org/10.1007/s100510050104