Quantum size effects in a one-dimensional semimetal

Details Quantum size effects in a one-dimensional semimetal Quantum size effects in a one-dimensional semimetal

2006-11-17

arxiv.org/abs/cond-mat/0611460v1

Phys. Rev. B 74, 205318 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages in PDF; LaTeX source

Scientific paper

10.1103/PhysRevB.74.205318

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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