ISSN:
1434-6036
Keywords:
PACS. 75.20.En Metals and alloys - 72.15.-v Electronic conduction in metals and alloys
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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, ; the Pauli paramagnetic susceptibility, and the Korringa constant, . 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, , is q-dependent, but the temperature dependence of cV remains linear, as in the FD case; (ii) the Fermi energy, , 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510050104
Permalink