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Linear and nonlinear optical absorption of position-dependent mass oscillators

Abstract

We study the linear (α⁽¹⁾ ), nonlinear (α⁽³⁾) and total (α) optical absorptions of position-dependent mass oscillators (PDMOs). We consider three mass distributions (m(x,λ)) used to describe semiconducting structures; λ is a deformation parameter. In the limit λ→ 0, the three systems describe electrons in a parabolic quantum well. For the system m₁(x)=m₀/[1+(λ x)² ]² we observe that α⁽¹⁾(ω)) (α⁽³⁾(ω)) increases (decreases) with increasing λ. For m₂ (x)=m₀ [1+(λ x)² ] and m₃(x)=m₀ [1 + tanh² (λ x) ] the opposite occurs. In the light of the PDMO approach we observe the m₂ (x) and m₃(x) systems are very similar, and can not be distinguished by optical transitions between the two lowest electronic levels. We also discussed about the total optical absorption of the systems.

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