Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-02-04
Physics
Condensed Matter
Statistical Mechanics
4 PS figures, accepted for publication in Physica A
Scientific paper
10.1016/S0378-4371(01)00017-6
The energy spectra of a variety of collective modes on quasiperiodic structures exhibit a complex fractal profile. Among the modes that have attracted particular attention in this context, are the spin wave spectra of quasiperiodic magnetic multilayers that obey a substitutional sequence of the Fibonacci type. They are described within the framework of the Heisenberg theory. In order to have a deep insight on the relevant thermodynamical implications of the above mentioned energy spectra's fractal profile, we have performed analytical and numerical calculations of the spin wave specific heat associated with successive hierarchical sequences of the Fibonacci quasiperiodic structures. The spectra show interesting oscillatory behavior in the low-temperature region, which can be traced back to the spin wave's self-similar energy spectrum.
Albuquerque E. L.
Bezerra C. G.
da Silva Robert L.
Mariz Ananias M.
Tsallis Constantino
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