Open Access Nano Express

Inter-dimensional effects in nano-structures

Rainer Dick

Author affiliations

Department of Physics & Engineering Physics, University of Saskatchewan, 116 Science Place, Saskatchewan, S7N 5E2, Saskatoon, Canada

Citation and License

Nanoscale Research Letters 2012, 7:581  doi:10.1186/1556-276X-7-581

Published: 23 October 2012


We report on two extensions of the traditional analysis of low-dimensional structures in terms of low-dimensional quantum mechanics. On one hand, we discuss the impact of thermodynamics in one or two dimensions on the behavior of fermions in low-dimensional systems. On the other hand, we use both quantum wells and interfaces with different effective electron or hole mass to study the question when charge carriers in interfaces or layers exhibit two-dimensional or three-dimensional behavior. We find in particular that systems with different effective masses in the bulk and in the interface exhibit separation of two-dimensional and three-dimensional behavior on different length scales, whereas quantum wells exhibit linear combination of two-dimensional and three-dimensional behavior on short length scales while the behavior on large length scales cannot be associated with either two-dimensional or three-dimensional behavior.

Density of states; Coulomb interactions; Exchange interactions; Scattering in nano-structures; Thermal properties in nano-structures; Fermi energy in nano-structures