Quantum scaling in nano-transistors

Details Quantum scaling in nano-transistors Quantum scaling in nano-transistors

2008-08-19

arxiv.org/abs/0808.2563v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 3 figures

Scientific paper

In our previous papers on ballistic quantum transport in nano-transistors [J. Appl. Phys. 98, 84308 (2005)] it was demonstrated that under certain conditions it is possible to reduce the three-dimensional transport problem to an effectively one-dimensional one. We show that such an effectively one-dimensional description can be cast in a scale-invariant form. We obtain dimensionless variables for the characteristic channel length $l$ and width of the transistor which determine the scale-invariant output characteristic. For $l \gtrsim 10$, in the strong barrier regime, the output characteristics are similar to that of a conventional MOSFET assuming an ideal form for $l \to \infty$. In the weak barrier regime, $l \lesssim 10$, strong source-drain currents lead to i-v characteristics that differ qualitatively from that of a conventional transistor. Comparing with experimental data we find qualitative agreement.

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