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Quantum size effects in a one-dimensional semimetal

Shadyar Farhangfar
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Abstract

We study theoretically the quantum size effects in a one-dimensional semimetal by a Boltzmann transport equation. We derive analytic expressions for the electrical conductivity, Hall coefficient, magnetoresistance, and the thermoelectric power in a nanowire. The transport coefficients of semimetal oscillate as the size of the sample shrinks. Below a certain size the semimetal evolves into a semiconductor. The semimetal-semiconductor transition is discussed quantitatively. The results should make a theoretical ground for better understanding of transport phenomena in low-dimensional semimetals. They can also provide useful information while studying low-dimensional semiconductors in general.

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Shadyar Farhangfar. 2006-11-17. Quantum size effects in a one-dimensional semimetal. https://doi.org/10.1103/physrevb.74.205318

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