Conductivity and size quantization effects in semiconductor $\delta$-layer systems

• URL: http://arxiv.org/abs/2209.06959v2
• Date: Thu, 22 Sep 2022 04:46:13 GMT
• Title: Conductivity and size quantization effects in semiconductor $\delta$-layer systems
• Authors: Juan P. Mendez and Denis Mamaluy
• Abstract summary: We present an open-system quantum-mechanical 3D real-space study of the conduction band structure and conductive properties of two semiconductor systems. phosphorus $delta$-layers in silicon and the corresponding $delta$-layer tunnel junctions are studied.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present an open-system quantum-mechanical 3D real-space study of the conduction band structure and conductive properties of two semiconductor systems, interesting for their beyond-Moore and quantum computing applications: phosphorus $\delta$-layers in silicon and the corresponding $\delta$-layer tunnel junctions. In order to evaluate size quantization effects on the conductivity, we consider two principal cases: nanoscale finite-width structures, used in transistors, and infinitely-wide structures, electrical properties of which are typically known experimentally. For devices widths $W<10$~nm, quantization effects are strong and it is shown that the number of propagating modes determines not only the conductivity, but the distinctive spatial distribution of the current-carrying electron states. For $W>10$~nm, the quantization effects practically vanish and the conductivity tends to the infinitely-wide device values. For tunnel junctions, two distinct conductivity regimes are predicted due to the strong conduction band quantization.

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