Scattering states of a particle, with position-dependent mass, in a \(\mathcal {PI}\)-symmetric heterojunction

DOI10.1088/1751-8113/45/18/185305zbMATH Open1247.81556arXiv1204.2416OpenAlexW1976237569MaRDI QIDQ2890753

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Publication date: 12 June 2012

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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 $calPT$ 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 $calPT$ 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.

Full work available at URL: https://arxiv.org/abs/1204.2416

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