Density of states, quantum concentration, and degeneracy pressure in confined electronic systems
Abstract
Abstract We present a simple derivation of the d -dimensional density of states (DOS) in confined electronic systems. Although previous studies often apply a heuristic L 3− d factor to DOS expressions, we show that this factor arises naturally from a consistent treatment of quasi-dimensional systems. Using a Fermi gas model, we calculate the carrier concentration n in different dimensions and introduce the concept of quantum concentration n Q as a critical threshold for the quantum confinement effect. We further demonstrate that the electron degeneracy pressure—scaling with n ( d +2)/ d —provides a thermodynamic explanation for the enhancement of the carrier density under confinement.
Fields of Study & Subjects
Cold Atom Physics and Bose-Einstein Condensates
Physics of Superconductivity and Magnetism
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Physica Scripta
- Publisher
- IOP Publishing
- Volume
- 101
- Issue
- 6
- Pages
- 065913–065913
- Publication date
- 30 January 2026
- Language
- EN