6533b82efe1ef96bd12928f9

RESEARCH PRODUCT

Quantum size effects in a one-dimensional semimetal

Shadyar Farhangfar

subject

PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsMagnetoresistanceCondensed matter physicsbusiness.industryNanowireFOS: Physical sciencesCondensed Matter PhysicsCondensed Matter::Mesoscopic Systems and Quantum Hall EffectBoltzmann equationSemimetalElectronic Optical and Magnetic MaterialsCondensed Matter::Materials ScienceSemiconductorHall effectQuantum mechanicsSeebeck coefficientMesoscale and Nanoscale Physics (cond-mat.mes-hall)Condensed Matter::Strongly Correlated ElectronsbusinessTransport phenomena

description

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.

https://dx.doi.org/10.48550/arxiv.cond-mat/0611460