2006/11/15 by Shadyar Farhangfar
Materials Science · Physics and Astronomy · #Band gap #Boltzmann equation #Condensed matter physics #Electrical resistivity and conductivity #Graphene research and applications #Hall effect #Magnetic field #Magnetoresistance #Materials science #Nanowire #Physics #Quantum mechanics #Seebeck coefficient #Semiconductor #Semimetal #Surface and Thin Film Phenomena #Thermal properties of materials #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.74.205318
published as Phys. Rev. B 74, 205318 (2006) · 5 pages in PDF; LaTeX source
openalex publication_date 2006/11/15 · arxiv created 2006/11/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.