Laughlin's nu=1/3 wave function

[- Laughlin wave function -]

[Picture stolen from Tom Duff, Bell Labs picture gallery]

The full Laughlin wave function is a many-electron state and therefore impossible to visualise in three dimensions. What is shown here is the probability density for one electron to be found at a certain position, in a situation where all the other electrons (the balls) are frozen in place in a regular lattice.

The arrows through the electrons indicate magnetic flux. When the filling fraction is exactly 1/3, there are presicely three magnetic flux quanta per electron in the sample. The picture is not correct, since an electron actually monopolises two flux quanta, not three, to become a composite fermion. The third flux should be smeared out.