Eur. Phys. J. B 14, 43-46 (2000)
https://doi.org/10.1007/s100510050104

Some metallic properties in the framework of Tsallis generalized statistics

Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro 22290-180, Brazil

Received: 30 June 1999
Revised: 7 September 1999
Published online: 15 March 2000

Abstract

Some metallic quantities are calculated on the grounds of Tsallis generalized statistics: the specific heat at constant volume, ; the chemical potential, ; the Pauli paramagnetic susceptibility, and the Korringa constant, C_K. 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, γ, is q-dependent, but the temperature dependence of c_V remains linear, as in the FD case; (ii) the Fermi energy, E_F, differs from the chemical potential by a linear term in T, and not quadratic, as in FD, the same happening for ; (iii) the Korringa constant is q-dependent, but not T-dependent. In the limit 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.