The Fractional Quantum Hall Effect
There is by now a rather well established standard picture of the fractional quantum Hall effect . The theoretical background of this picture is reviewed here. The basis is Laughlin’s conjecture for the many-body wavefunction describing the “1/m-state” and the hierarchy of states obtained from these by adding “quasi-hole” and “quasi-electron” excitations. We shall in particular describe how the standard theory relates to three experimental facts: (1) certain electron densities corresponding to a fractional filling of the lowest Landau level are “special”, (2) the excitations from the corresponding ground states have a finite energy, hence dissipationless flow is possible at these densities, (3) the Hall steps have a “finite width”.
KeywordsVortex GaAs Tate Haldane
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