Figure 1

The correlation energy of the optimal CF crystal, i.e., the percent of deviation of its Coulomb energy from the Coulomb energy of the uncorrelated electron crystal, for $N=6$ particles. The superscript $2p$ on ${}^{2p}\mathrm{C}\mathrm{F}\mathrm{C}$ indicates the vortex quantum number of composite fermions. The energy of the electron crystal for $L>400$ is taken from Yannouleas and Landman [33]. The deviation of the exact energy from the electron crystal energy is also shown for $L\le 145$; for larger angular momenta, where the exact energy is not available, we show an accurate approximation, $V_{\mathrm{C}\mathrm{F}}^{(2)}$ (explained in the text), as an independent reference. For $2p>6$, the number of vortices carried by composite fermions is shown in parentheses near the diamond. The energy difference per particle between the electron and the CF crystals is given in the inset, quoted in units of $e^2/ϵl_0$, where $l_0$ is the magnetic length and $ϵ$ is the dielectric constant of the host semiconductor.Reuse & Permissions

Figure 2

The pair correlation functions for the CF crystal (solid circles), the electron crystal (empty squares), and Laughlin's wave function (empty triangles) on a circle of radius $R=6.445l_0$ for six particles at $\nu =1/7$. The solid line shows the exact pair correlation function.Reuse & Permissions