Conditional probabilities (anisotropic pair correlations)
for quantum dots at high magnetic field
Presented at the APS MARCH2004 meeting
Conditional Probability Distributions for N=6 and N=7 electrons at
high magnetic fields (the electronic wave functions are restricted to the
lowest Landau level). The examples presented are for magic angular momenta
L=75, L=105, and L=135 (N=6) and L=105, L=69, L=57, and L=45 (N=7).
LEFT: the case of the rotating Wigner (or electron) molecule
[1] (RWM or REM);
CENTER: the exact-diagonalization (EXD) case;
RIGHT: the case of the Jastrow-Laughlin (JL)
wave function. Unlike the RWM wave functions, the JL wave functions fail
to capture the crystalline character of the EXD states.
[1] C. Yannouleas and U. Landman,
(a) PRB 66, 115315 (2002) ;
(b) PRB 68, 035326 (2003) ;
(c) PRB 69, 113306 (2004) ;
(d) cond-mat/0401610 ;
(e) cond-mat/0412200 .
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RWM
Exact
Laughlin
N=7 L=105 (nu=1/5)
N=6 L=75 (nu=1/5)
N=6 L=105 (nu=1/7)
N=6 L=135 (nu=1/9)
Last Modified: March 4, 2004 at 1:38:53 PM