Abstract

Several striking and unexpected phenomena have been observed in two-dimensional electron-systems (2DES) under the application of a strong transverse magnetic field(B). Fractional quantum Hall effect (FQHE)1 is one of them. It has been found that Jastrow wave functions provide a good qualitative and quantitative description of the low-energy physics of this system. The peculiar nature of the problem is that the Jastrow factor is of a very special form: it attaches an even number of vortices to electrons. The bound state of the electron and the vortices acts like a particle, called “composite fermion”.2Most of the intriguing features of the 2DES in highB can be understood straightforwardly in terms of composite fermions. This short note provides an elementary introduction to the composite fermion (CF) theory.

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