RT info:eu-repo/semantics/article
T1 A relativistic one dimensional band model with position dependent mass
A1 Glasser, M. Lawrence
K1 Kronig-Penney model
K1 Modelo de Kronig-Penney
K1 Energy band structure
K1 Teoría de bandas
AB In this note a one-dimensional band model is proposed based on a periodic Dirac comb having a periodicmass 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 lowestelectron and positron bands for the constant mass case are similar to those for the standard relativisticKronig-Penney model, suggesting that non-locality has little influence. The results for the sinusoidal caseare consistent with the expectation that at low wavenumber an electron “feels” it has an average constantmass, but at high wave number, the particle “sees” the periodic mass variation and the band is distorted.
PB Elsevier
SN 0375-9601
YR 2020
FD 2020
LK http://uvadoc.uva.es/handle/10324/40866
UL http://uvadoc.uva.es/handle/10324/40866
LA eng
NO Physics Letters A, 2020, vol. 384, n. 14. 4 p.
NO Producción Científica
DS UVaDOC
RD 26-abr-2024