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oai:uvadoc.uva.es:10324/408662021-06-24T07:22:38Zcom_10324_22154com_10324_954com_10324_894col_10324_22155

2020-05-16T11:14:37Z urn:hdl:10324/40866 A relativistic one dimensional band model with position dependent mass Glasser, M. Lawrence Producción Científica In this note a one-dimensional band model is proposed based on a periodic Dirac comb having a periodic mass distribution m(x). The mass function is represented as a Hermitian, non-local separable operator. Two specific cases–a constant mass model and a sinusoidal mass model–are examined. The lowest electron and positron bands for the constant mass case are similar to those for the standard relativistic Kronig-Penney model, suggesting that non-locality has little influence. The results for the sinusoidal case are consistent with the expectation that at low wavenumber an electron “feels” it has an average constant mass, but at high wave number, the particle “sees” the periodic mass variation and the band is distorted. 2020-05-16T11:14:37Z 2020-05-16T11:14:37Z 2020 info:eu-repo/semantics/article Physics Letters A, 2020, vol. 384, n. 14. 4 p. 0375-9601 0375-9601 http://uvadoc.uva.es/handle/10324/40866 10.1016/j.physleta.2020.126277 126277 14 Physics Letters A 384 eng https://www.sciencedirect.com/science/article/abs/pii/S0375960120300700?via%3Dihub info:eu-repo/semantics/openAccess © 2020 Elsevier Elsevier