Scaling behavior of energy functionals of highly complex electron distributions
✍ Scribed by János Pipek; Imre Varga
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 206 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
In highly extended mesoscopic molecular networks or solid-state Ž . systems, one-electron states with an extremely complex multifractal internal structure commonly appear at intermediate length scales. It is shown that multifractality is not compatible with the concept of electron density. Physical intuition suggests that electron densities should be smooth both at atomic distances and close to the macroscopic limit. Special care must be taken, however, in studying density-based energy functionals at intermediate length scales due to the nonexistence of the density itself. In this contribution, the extension and practical calculation of some energy functionals for multifractal Ž . structures are discussed and statistical scaling properties are studied as well.