Ground-state energy and Wigner crystallization in thick 2D-electron systems
Abstract
The ground state energy of the 2-D Wigner crystal is determined as a function of the thickness of the electron layer and the crystal structure. The method of evaluating the exchange-correlation energy is tested using known results for the infinitely-thin 2D system. Two methods, one based on the local-density approximation(LDA), and another based on the constant-density approximation (CDA) are established by comparing with quantum Monte-Carlo (QMC) results. The LDA and CDA estimates for the Wigner transition of the perfect 2D fluid are at and 32 respectively, compared with from QMC. For thick-2D layers as found in Hetero-junction-insulated-gate field-effect transistors, the LDA and CDA predictions of the Wigner transition are at and 15.5 respectively. Impurity effects are not considered here.
Cite
@article{arxiv.cond-mat/0508166,
title = {Ground-state energy and Wigner crystallization in thick 2D-electron systems},
author = {D. Jost and M. W. C. Dharma-wardana},
journal= {arXiv preprint arXiv:cond-mat/0508166},
year = {2009}
}
Comments
Last figure and Table are modified in the revised version. Conclusions regarding the Wigner transition in thick layers are modified in the revised version. Latex manuscript, four figures