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

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

2006-08-10

arxiv.org/abs/cond-mat/0608252v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

accepted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.076802

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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