Can fractal-like spectra be experimentally observed in aperiodic superlattices?

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dc.contributor.authorMaciá Barber, Enrique Alfonso
dc.contributor.authorDomínguez-Adame Acosta, Francisco
dc.date.accessioned2023-06-20T20:16:12Z
dc.date.available2023-06-20T20:16:12Z
dc.date.issued1996-07
dc.description© Copyright IOP Publishing. Thanks are warmly due to Angel Sánchez for helpful discussions and critical reading of the manuscript. This work is supported by CICYT through project MAT95-0325.
dc.description.abstractWe numerically investigate the effects of inhomogeneities in the energy spectrum of aperiodic semiconductor superlattices, focusing our attention on Thue-Morse and Fibonacci sequences. In the absence of disorder, the corresponding electronic spectra are self-similar. The presence of a certain degree of randomness, due to imperfections occurring during the growth processes, gives rise to a progressive loss of quantum coherence, smearing out the finer details of the energy spectra predicted for perfect aperiodic superlattices and spurring the onset of electron localization. However, depending on the degree of disorder introduced, a critical size for the system exists, below which peculiar transport properties, related to the pre-fractal nature of the energy spectrum, may be measured.
dc.description.departmentDepto. de Física de Materiales
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipComisión Interministerial de Ciencia y Tecnología (CICYT), España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/37914
dc.identifier.citation[1] Merlin R, Bajema K, Clarke R, Juang F-Y and Bhattacharya P 1985 Phys. Rev. Lett. 55 1768. [2] Merlin R, Bajema K, Nagle J and Ploog K 1987 J. Physique Coll. 48 C5 503. [3] Kohmoto M, Kadanoff L P and Tang C 1983 Phys. Rev. Lett. 50 1870. [4] Ryu C S, Oh G Y and Lee M H 1993 Phys. Rev. B 48 132. [5] Domínguez-Adame F, Maciá E, Méndez B, Roy C L and Khan A 1995 Semicond. Sci. Technol. 10 797. [6] Süto A 1989 J. Stat. Phys. 56 525. ___Bellisard J, Iochum B, Scoppola E and Testard D 1989 Commun. Math. Phys. 125 527. [7] Bellisard J, Bovier A and Ghez J-M 1991 Commun. Math. Phys. 135 379. Bovier A and Ghez J-M 1993 Commun. Math. Phys. 158 45. [8] Todd J, Merlin R, Clarke R, Mohanty K M and Axe J D 1986 Phys. Rev. Lett. 57 1157. [9] Chomette A, Deveaud B, Regreny A and Bastard G 1986 Phys. Rev. Lett. 57 1464. ____Pavesi L, Tuncel E, Zimmermann B and Reinhart F K 1989 Phys. Rev. B 39 7788. [10] Liu Y and Riklund R 1987 Phys. Rev. B 35 6034. ____Das Sarma S and Xie X C 1989 Phys. Rev. B 37 1097 [11] Toet D, Potemski M, Wang Y Y, Maan J C, Tapfter L and Ploog K 1991 Phys. Rev. Lett. 66 2128. ____Katsumoto S, Sano N and Kobayashi S 1993 Solid State Commun. 85 223 ____Yamaguchi A A, Saiki T, Tada T, Ninomiya T, Misawa K and Kobayashi T 1990 Solid State Commun. 75 955 [12] Domínguez-Adame F, Sánchez A and Diez E 1994 Phys. Rev. B 50 17736. [13] Maciá E, Domínguez-Adame F and Sánchez A 1994 Phys. Rev. B 49 9503. [14] Maciá E, Domínguez-Adame F and Sánchez A 1994 Phys. Rev. E 50 679. [15] Kirkman P D and Pendry J B 1984 J. Phys. C: Solid State Phys. 17 4327. [16] Kohmoto M 1983 Phys. Rev. Lett. 51 1198. ____Hiramoto H and Kohmoto M 1989 Phys. Rev. Lett. 62 2714. [17] Riklund R, Severin M and Liu Y 1987 Int. J. Phys. B 1 121.
dc.identifier.doi10.1088/0268-1242/11/7/012
dc.identifier.issn0268-1242
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0268-1242/11/7/012
dc.identifier.relatedurlhttp://iopscience.iop.org/
dc.identifier.relatedurlhttp://arxiv.org/abs/cond-mat/9604141
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59982
dc.issue.number7
dc.journal.titleSemiconductor science and technology
dc.language.isoeng
dc.page.final1045
dc.page.initial1041
dc.publisherIop Publishing Ltd
dc.relation.projectIDMAT95-0325
dc.rights.accessRightsopen access
dc.subject.cdu538.9
dc.subject.keywordFibonacci superlattices
dc.subject.keywordElectronic-properties
dc.subject.keywordTight-binding
dc.subject.keywordThue-Morse
dc.subject.keywordLocalization
dc.subject.ucmFísica de materiales
dc.titleCan fractal-like spectra be experimentally observed in aperiodic superlattices?
dc.typejournal article
dc.volume.number11
dspace.entity.typePublication
relation.isAuthorOfPublicationdd37b3ce-0186-44e8-a4b6-62cef9121754
relation.isAuthorOfPublicationdbc02e39-958d-4885-acfb-131220e221ba
relation.isAuthorOfPublication.latestForDiscoverydd37b3ce-0186-44e8-a4b6-62cef9121754
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