6533b861fe1ef96bd12c5a62

RESEARCH PRODUCT

Electric conduction in semiconductors: a pedagogical model based on the Monte Carlo method

R M Sperandeo-mineoMichelangelo ZarconeM. C. Capizzo

subject

Physicsbusiness.industryMonte Carlo methodGAASGeneral Physics and AstronomyElectron holeFunction (mathematics)Thermal conductionSemiconductorSimple (abstract algebra)Electric fieldQuasiparticleStatistical physicsDRIFT VELOCITYbusinessSILICON

description

We present a pedagogic approach aimed at modelling electric conduction in semiconductors in order to describe and explain some macroscopic properties, such as the characteristic behaviour of resistance as a function of temperature. A simple model of the band structure is adopted for the generation of electron–hole pairs as well as for the carrier transport in moderate electric fields. The semiconductor behaviour is described by substituting the traditional statistical approach (requiring a deep mathematical background) with microscopic models, based on the Monte Carlo method, in which simple rules applied to microscopic particles and quasi-particles determine the macroscopic properties. We compare measurements of electric properties of matter with 'virtual experiments' built by using some models where the physical concepts can be presented at different formalization levels.

10.1088/0143-0807/29/3/006http://hdl.handle.net/10447/14878