2026-04-29T16:00:03Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/100042025-01-24T01:05:37Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

Gadella, Manuel 1f7156f0-f96b-4a37-9fb9-7d0f4f5d880c 600 Mateos Guilarte, Juan María 17a53dbf-a504-400d-ba14-38031497ff57 600 Muñoz Castañeda, José María a81810b9-7188-4ae2-9f9d-1ad762b5ea16 600 Nieto Calzada, Luis Miguel c5e0b59a-f624-4fec-ad10-28cb4e244c32 600 Santamaría Sanz, Lucía bdaeec67-7ebf-4c3d-a970-445a0525174f 600 2025-01-23T08:21:56Z 2025-01-23T08:21:56Z 2020-10 http://hdl.handle.net/10259/10004 10.1140/EPJP/S13360-020-00818-6 2190-5444 We present a detailed study of a generalised one-dimensional Kronig–Penney model using δ- δ′ potentials. We analyse the band structure and the density of states in two situations. In the first case, we consider an infinite array formed by identical δ- δ′ potentials standing at the linear lattice nodes. This case will be known throughout the paper as the one-species hybrid Dirac comb. We investigate the consequences of adding the δ′ interaction to the Dirac comb by comparing the band spectra and the density of states of pure Dirac-δ combs and one-species hybrid Dirac combs. Secondly, we study the quantum system that arises when the periodic potential is the one obtained from the superposition of two one-species hybrid Dirac combs displaced one with respect to the other and with different couplings. The latter will be known as the two-species hybrid Dirac comb. One of the most remarkable results is the appearance of a curvature change in the band spectrum when the δ′ couplings are above a critical value. This work was partially supported by the Spanish Junta de Castilla y León and FEDER projects (BU229P18 and VA137G18). L.S.S. is grateful to the Spanish Government for the FPU-fellowships programme (FPU18/00957). application/pdf eng Springer The European Physical Journal Plus. 2020, V. 135, n. 10 https://doi.org/10.1140/epjp/s13360-020-00818-6 Física Matemáticas Physics Mathematics Band spectra of periodic hybrid δ- δ′ structures info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion info:eu-repo/semantics/openAccess The European Physical Journal Plus 135 10 THUMBNAIL Gadella-epjp_2020.pdf.jpg Gadella-epjp_2020.pdf.jpg IM Thumbnail image/jpeg 3790 https://riubu.ubu.es/bitstream/10259/10004/3/Gadella-epjp_2020.pdf.jpg aadd79b1be3f789d473529d80f6b1958 MD5 3 LICENSE license.txt license.txt text/plain; charset=utf-8 998 https://riubu.ubu.es/bitstream/10259/10004/2/license.txt aa90105e1c90a1b4fe810649aa967b7d MD5 2 ORIGINAL Gadella-epjp_2020.pdf Gadella-epjp_2020.pdf application/pdf 848501 https://riubu.ubu.es/bitstream/10259/10004/1/Gadella-epjp_2020.pdf 78ca2c44492e09e5550c42aef9d0bb6c MD5 1 10259/10004 oai:riubu.ubu.es:10259/10004 2025-01-24 02:05:37.925 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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