2026-04-29T17:05:34Zhttps://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 Mateos Guilarte, Juan María Muñoz Castañeda, José María Nieto Calzada, Luis Miguel Santamaría Sanz, Lucía 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