Quantum size effects in a one-dimensional semimetal

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.Comment: 5 pages in PDF; LaTeX sourc

Size quantization in metal films

Quantum size effect, predicted by I.M. Lifshits and A.M. Kosevich [Izv. Akad. Nauk SSSR, seriya fiz. 19, 395 (1955)], was investigates in a many works. In the basis of analysis of quantum size oscillations of thermodynamics and kinetic characteristics of metal films lies the quasiclassical quantization of component of momentum for isotropy model and quantization [S.S. Nedorezov, Zh. Eksp. Teor. Fiz. 51, 868 (1966) [Sov. Phys.-JETF 24, 578 (1967)]] of chord of constant-energy surface in the case of anisotropy energetic spectrum. In the given work the research of quantum size levels of energy of electrons in metal films is carried out by the method of J.M. Luttinger–W.Kohn. The exact conditions of size quantization are got