%0 Journal Article %1 WOS:000235848400006 %A Anselmo, DHAL %A Dantas, AL %A Albuquerque, EL %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 2006 %I ELSEVIER SCIENCE BV %J PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS %K multifractals; phonons; superlattices} {optical %N 2 %P 289-294 %R 10.1016/j.physa.2005.08.031 %T A multifractal analysis of optical phonon excitations in quasicrystals %V 362 %X It is shown that the allowed frequencies of optical phonon modes propagating in quasiperiodic AlN-GaN structures display a multifractal behavior. This feature is confirmed through a scaling-exponent analysis of a parametric spectrum of singularities f(alpha). This is done by using an alternative counting method, avoiding the use of a Legendre transform, which could lead to distortions. The Cantor-like spectrum is also investigated, and scaling properties are shown for Fibonacci, Thue-Morse and double-period quasiperiodic superlattices. (c) 2005 Elsevier B.V. All rights reserved.

@article{WOS:000235848400006, abstract = {It is shown that the allowed frequencies of optical phonon modes propagating in quasiperiodic AlN-GaN structures display a multifractal behavior. This feature is confirmed through a scaling-exponent analysis of a parametric spectrum of singularities f(alpha). This is done by using an alternative counting method, avoiding the use of a Legendre transform, which could lead to distortions. The Cantor-like spectrum is also investigated, and scaling properties are shown for Fibonacci, Thue-Morse and double-period quasiperiodic superlattices. (c) 2005 Elsevier B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Anselmo, DHAL and Dantas, AL and Albuquerque, EL}, biburl = {https://www.bibsonomy.org/bibtex/22d5935e3c7293b0059213f8972da4b7b/ppgfis_ufc_br}, doi = {10.1016/j.physa.2005.08.031}, interhash = {6aeb61ff5fe920e5ee71fb57921b6473}, intrahash = {2d5935e3c7293b0059213f8972da4b7b}, issn = {0378-4371}, journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS}, keywords = {multifractals; phonons; superlattices} {optical}, number = 2, pages = {289-294}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {A multifractal analysis of optical phonon excitations in quasicrystals}, tppubtype = {article}, volume = 362, year = 2006 }