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Benedict Irwin added Fractional.tex
almost 10 years ago
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\section{Fractional Quantum Hall States}
These are the values measured for the fractional quantum hall effects values for the filling factor $\nu$ which can take values $1,2,3,...$ or $1/3, 2/5, 3/7, 2/3, 3/5, 1/5, 2/9, 3/13, 5/2, 12/5 ...$
\begin{equation}
1 = |0,0,0,...> \\
2 = |1,0,0,...> \\
3 = |0,1,0,...> \\
\\
1/3=|0,-1,0,0,..> \\
2/5=|1,0,-1,0,..> \\
3/7=|0,1,0,-1,..> \\
2/3=|1,-1,0,0,..> \\
3/5=|0,1,-1,0,..> \\
1/5=|0,0,-1,0,..> \\
2/9=|1,-2,0,0,..> \\
3/13=|0,1,0,0,0,-1,..>\\
12/5=|2,1,-1,0,..>\\
\end{equation}
