Electronic specific heat properties in one-dimensional quasicrystals

P.w Mauriz, E.l Albuquerque and M.s Vasconcelos

Physica A: Statistical Mechanics and its Applications, 2001, vol. 294, issue 3, 403-414

Abstract: In this paper we investigate the thermodynamical properties of electrons in one-dimensional quasiperiodic potentials, arranged in accordance with the pure and generalized Fibonacci sequences. The sequences are described in terms of a series of generations that obey peculiar recursion relations, and have controlled disorder, i.e., they are neither random nor periodic. Their electronic energy spectra are calculated using the one-dimensional Schrödinger equation in a tight-binding approximation. We present both analytical and numerical studies on the temperature dependence of the electron's specific heat associated with their multiscale fractal energy spectra. We show that when T→0, the specific heat displays oscillations, and when T→∞, the specific heat goes to zero with T−2.

Keywords: Computer simulation; Quasicrystals; Fractal behavior; Thermodynamical properties (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:294:y:2001:i:3:p:403-414

DOI: 10.1016/S0378-4371(01)00021-8

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