Can fractal-like spectra be experimentally observed in aperiodic superlattices?
dc.contributor.author | Maciá Barber, Enrique Alfonso | |
dc.contributor.author | DomÃnguez-Adame Acosta, Francisco | |
dc.date.accessioned | 2023-06-20T20:16:12Z | |
dc.date.available | 2023-06-20T20:16:12Z | |
dc.date.issued | 1996-07 | |
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.abstract | We 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.department | Depto. de FÃsica de Materiales | |
dc.description.faculty | Fac. de Ciencias FÃsicas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Comisión Interministerial de Ciencia y TecnologÃa (CICYT), España | |
dc.description.status | pub | |
dc.eprint.id | https://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] DomÃnguez-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] DomÃnguez-Adame F, Sánchez A and Diez E 1994 Phys. Rev. B 50 17736. [13] Maciá E, DomÃnguez-Adame F and Sánchez A 1994 Phys. Rev. B 49 9503. [14] Maciá E, DomÃnguez-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.doi | 10.1088/0268-1242/11/7/012 | |
dc.identifier.issn | 0268-1242 | |
dc.identifier.officialurl | http://dx.doi.org/10.1088/0268-1242/11/7/012 | |
dc.identifier.relatedurl | http://iopscience.iop.org/ | |
dc.identifier.relatedurl | http://arxiv.org/abs/cond-mat/9604141 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/59982 | |
dc.issue.number | 7 | |
dc.journal.title | Semiconductor science and technology | |
dc.language.iso | eng | |
dc.page.final | 1045 | |
dc.page.initial | 1041 | |
dc.publisher | Iop Publishing Ltd | |
dc.relation.projectID | MAT95-0325 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 538.9 | |
dc.subject.keyword | Fibonacci superlattices | |
dc.subject.keyword | Electronic-properties | |
dc.subject.keyword | Tight-binding | |
dc.subject.keyword | Thue-Morse | |
dc.subject.keyword | Localization | |
dc.subject.ucm | FÃsica de materiales | |
dc.title | Can fractal-like spectra be experimentally observed in aperiodic superlattices? | |
dc.type | journal article | |
dc.volume.number | 11 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | dd37b3ce-0186-44e8-a4b6-62cef9121754 | |
relation.isAuthorOfPublication | dbc02e39-958d-4885-acfb-131220e221ba | |
relation.isAuthorOfPublication.latestForDiscovery | dd37b3ce-0186-44e8-a4b6-62cef9121754 |
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