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Crossover from Fermi Liquid to Wigner Molecule Behavior in Quantum Dots
Open accessAbstract
The crossover from weak to strong correlations in parabolic quantum dots at zero magnetic field is studied by numerically exact path-integral Monte Carlo simulations for up to eight electrons. By the use of a multilevel blocking algorithm, the simulations are carried out free of the fermion sign problem. We obtain a universal crossover governed only by the density parameter ${r}_{s}$. For ${r}_{s}>{r}_{c}$, the data are consistent with a Wigner molecule description, while, for ${r}_{s}<{r}_{c}$, Fermi liquid behavior is recovered. The crossover value ${r}_{c}\ensuremath{\approx}4$ is surprisingly small.
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Citations
Cited by
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Reimann, S. M., & Manninen, M. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.1283 · Cited by 1,380
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Shukla, P. K., & Eliasson, B. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.885 · Cited by 477
Wigner Crystallization in Mesoscopic 2D Electron Systems
Filinov, A. V., Bonitz, M., & Lozovik, Y. E. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.3851 · Cited by 289
Quantum rings for beginners: energy spectra and persistent currents
Viefers, S., Koskinen, P., Singha Deo, P., & Manninen, M. (2004) · Physica E: Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2003.08.076 · Cited by 283
Strong electron-electron interactions in Si/SiGe quantum dots
Ercan, H. E., Coppersmith, S. N., & Friesen, M. (2021) · Physical Review B · doi:10.1103/physrevb.104.235302 · Cited by 45
Metadata
- Authors
- Egger, R., Häusler, W., Mak, C. H., & Grabert, H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-04-19
- Volume
- 82
- Issue
- 16
- Pages
- 3320-3323
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2038657732
- Cited by
- 256
- References
- 0
- FWCI
- 9.88
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Egger, R., Häusler, W., Mak, C. H., & Grabert, H. (1999). Crossover from Fermi Liquid to Wigner Molecule Behavior in Quantum Dots. Physical Review Letters. https://doi.org/10.1103/physrevlett.82.3320
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