Abstract
The method of exact diagnoalization is applied to find the distribution of electrons over single-particle states at a 1D quantum point and the Fourier spectrum of the electron density. It is shown that the distribution function contains an unexpected signularity at the Fermi level. It is found that (i) the singularity results from the Wigner electron ordering and (ii) the Wigner ordering involves suppression of spatial Fourier harmonics of the electron density observed when the interaction potential grows over the entire range of wave vectors except for the double Fermi wave vector. It is demonstrated that the distribution function calculated within the Luttinger model also has a singularity at the Fermi level and this singularity is of an irregular shape.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 684-692 |
| Number of pages | 9 |
| Journal | Journal of Communications Technology and Electronics |
| Volume | 52 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2007 |
| Externally published | Yes |
Bibliographical note
Funding Information:ACKNOWLEDGMENTS This work was supported by the Russian Foundation for Basic Research (project no. 05-02-16854), the Russian Academy of Sciences (programs “Quantum Nano-structures” and “Strongly Correlated Electrons in Semiconductors, Metals, Superconductors, and Magnetic Materials”), and the Foundation for the Support of the Russian Science.