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Composite fermions (CFs), exotic particles formed by pairing an even number of flux quanta to each electron, provide a fascinating description of phenomena exhibited by interacting two-dimensional electrons at high magnetic fields.
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The exact solution of the quadratic equation when n ∗ = 1 − ν ν n n^{*}=\frac{1-\nu}{\nu}n is B i ∗ ′ = ( B i ∗ 2 / B 1 / 2 ) ( 1 + 1 + B 1 / 2 2 / B i ∗ 2 ) B^{*\prime}_{i}=(B^{*2}_{i}/B_{1/2})\Big(1+\sqrt{1+B^{2}_{1/2}/B^{*2}_{i}}\Big) , where B i ∗ B^{*}_{i} is the solution when n ∗ = n n^{*}=n
Cited in the paper.
In many cases in Fig. 4, when the open symbol falls above (or below) unity, the corresponding closed symbol also falls above (or below) the dashed lines. These pairwise shifts could be explained by possible, small errors in our determination of the field position of ν = 1 / 2 \nu=1/2
Cited in the paper.
A purely electrostatic potential modulation would in fact predict B i ∗ = ± [ 2 ℏ 4 π n ∗ ] / [ e a ( i − 1 / 4 ) ] B^{*}_{i}=\pm[2\hbar\sqrt{4\pi n^{*}}]/[ea(i-1/4)] for the positions of the resistance minima. These minima would be further
Cited in the paper.