Oscillatory behavior of the specific heat at low temperature in quasiperiodic structures

Bezerra, Claudionor Gomes; Albuquerque, Eudenilson Lins de; Mauriz, P. W.; Vasconcelos, Manoel Silva de

Oscillatory behavior of the specific heat at low temperature in quasiperiodic structures

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dc.contributor.author	Bezerra, Claudionor Gomes
dc.contributor.author	Albuquerque, Eudenilson Lins de
dc.contributor.author	Mauriz, P. W.
dc.contributor.author	Vasconcelos, Manoel Silva de
dc.date.accessioned	2020-07-14T13:24:27Z
dc.date.available	2020-07-14T13:24:27Z
dc.date.issued	2004-12-15
dc.description.resumo	We investigate the thermodynamical properties of plasmon–polaritons that propagate in multiple semiconductor layers arranged in a quasi-periodical fashion of Fibonacci and Thue–Morse types. We have chosen these two types of quasi-periodic structures for the following reasons: (i) both were realized experimentally, so they are not mere academic examples of a quasi-crystal; (ii) it is believed that the Thue–Morse chain is more disordered than the Fibonacci one, i.e., it has a degree of aperiodicity intermediate between the Fibonacci chain and the random systems. More precisely, the Fourier amplitude spectrum of the Thue–Morse sequence is singular continuous, while for the Fibonacci case we found δ-function peaks not arranged periodically. Both analytical and numerical studies on the temperature dependence of the excitation's specific heat associated with the generation number n=1,2,3,… for their multiscale fractal energy spectra are presented. We show that when T tends to zero, the specific heat displays oscillations and when T tends to infinity, the specific heat goes to zero as T−2, because the energy spectrum considered is bounded	pt_BR
dc.identifier.citation	ALBUQUERQUE, E.; BEZERRA, C. G.; MAURIZ, P.; VASCONCELOS, M.. Oscillatory behavior of the specific heat at low temperature in quasiperiodic structures. Physica A: Statistical Mechanics and its Applications, v. 344, p. 366-371, 2004. Disponível em: https://www.sciencedirect.com/science/article/pii/S0378437104007678?via%3Dihub. Acesso em: 05 jun. 2020. https://doi.org/10.1016/j.physa.2004.06.004	pt_BR
dc.identifier.doi	10.1016/j.physa.2004.06.004
dc.identifier.issn	0378-4371
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/29596
dc.language	en	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Quasi-crystals	pt_BR
dc.subject	Fractal behavior	pt_BR
dc.subject	Thermodynamical properties	pt_BR
dc.title	Oscillatory behavior of the specific heat at low temperature in quasiperiodic structures	pt_BR
dc.type	article	pt_BR