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Fractional charge revealed in computer simulations of resonant tunneling in the fractional quantum Hall regime

E. V. Tsiper
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Abstract

The concept of fractional charge is central to the theory of the fractional quantum Hall effect (FQHE). Here I use exact diagonalization as well as configuration space renormalization (CSR) to study finite clusters which are large enough to contain two independent edges. I analyze the conditions of resonant tunneling between the two edges. The "computer experiment" reveals a periodic sequence of resonant tunneling events consistent with the experimentally observed fractional quantization of electric charge in units of e/3 and e/5.

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E. V. Tsiper. 2006-08-10. Fractional charge revealed in computer simulations of resonant tunneling in the fractional quantum Hall regime. https://doi.org/10.1103/physrevlett.97.076802

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