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

E.V. Tsiper

School of Computational Sciences, George Mason University, Fairfax, VA 22030-4444
Center for Computational Materials Science, Naval Research Laboratory, Washington, DC 20375
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.

Phys. Rev. Lett. 97, 076802 (2006)
reprint: PDF


This article is cited in:
Patton, K.R. and Geller, M.R.,
Fractionally charged impurity states of a fractional quantum Hall system.
New Journal of Physics, 16(2), p.023004, 2014.

Shrivastava, K.N.,
Laughlin's Wave Function and Angular Momentum.
International Journal of Modern Physics B, 25(10), pp.1301-1357, 2011.

Goldman, V.J., Liu, J. and Zaslavsky, A.,
Electron tunneling spectroscopy of a quantum antidot in the integer quantum Hall regime.
Physical Review B, 77(11), p.115328, 2008.

Hu, Z.X., Wan, X. and Schmitteckert, P.,
Trapping Abelian anyons in fractional quantum Hall droplets.
Physical Review B, 77(7), p.075331, 2008.

Camino, F.E., Zhou, W. and Goldman, V.J.,
e/3 Laughlin quasiparticle primary-filling ν= 1/3 interferometer.
Physical review letters, 98(7), p.076805, 2007.

Goldman, V.J., Liu, J. and Zaslavsky, A.,
Electron tunneling spectroscopy of a quantum antidot in the quantum Hall regime.
arXiv preprint arXiv:0710.1639, 2007.

Zhou, W.,
Laughlin quasiparticle interferometers in the quantum Hall regime.
Doctoral Thesis, State University of New York at Stony Brook, 2007.

Camino, F.E., Zhou, W. and Goldman, V.J.,
Experimental realization of a primary-filling e/3 quasiparticle interferometer.
arXiv preprint cond-mat/0611443, 2006.

Camino, F.E., Zhou, W. and Goldman, V.J.,
Primary-filling e/3 quasiparticle interferometer
arXiv preprint cond-mat/0610751, 2006.