Scattering states of a particle, with position-dependent mass, in a $\mathcal{P}\mathcal{T}$ symmetric heterojunction

Abstract

The study of a particle with position-dependent effective mass (pdem), within a double heterojunction is extended into the complex domain --- when the region within the heterojunctions is described by a non Hermitian $\mathcal{P}\mathcal{T}$ symmetric potential. After obtaining the exact analytical solutions, the reflection and transmission coefficients are calculated, and plotted as a function of the energy. It is observed that at least two of the characteristic features of non Hermitian $\mathcal{P}\mathcal{T}$ symmetric systems --- viz., left / right asymmetry and anomalous behaviour at spectral singularity, are preserved even in the presence of pdem. The possibility of charge conservation is also discussed.

12 pages, including 6 figures; Journal of Physics A : Math. Theor. (2012)

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Cited by in corpus (2)

• Analytic results in the position-dependent mass Schrodinger problem
• Quasiparticle parameterization of meanfields, Galilei invariance and universal conserving response functions