Correlation Induced Inhomogeneity in Circular Quantum Dots
摘要
Properties of the "electron gas" - in which conduction electrons interact by means of Coulomb forces but ionic potentials are neglected - change dramatically depending on the balance between kinetic energy and Coulomb repulsion. The limits are well understood. For very weak interactions (high density), the system behaves as a Fermi liquid, with delocalized electrons. In contrast, in the strongly interacting limit (low density), the electrons localize and order into a Wigner crystal phase. The physics at intermediate densities, however, remains a subject of fundamental research. Here, we study the intermediate-density electron gas confined to a circular disc, where the degree of confinement can be tuned to control the density. Using accurate quantum Monte Carlo techniques, we show that the electron-electron correlation induced by an increase of the interaction first smoothly causes rings, and then angular modulation, without any signature of a sharp transition in this density range. This suggests that inhomogeneities in a confined system, which exist even without interactions, are significantly enhanced by correlations.
引用
@article{arxiv.cond-mat/0601178,
title = {Correlation Induced Inhomogeneity in Circular Quantum Dots},
author = {Amit Ghosal and A. D. Guclu and C. J. Umrigar and Denis Ullmo and Harold U. Baranger},
journal= {arXiv preprint arXiv:cond-mat/0601178},
year = {2007}
}
备注
final version, modified introduction and clarifications, 4 pages