Edge reconstructions in fractional quantum Hall systems

Details Edge reconstructions in fractional quantum Hall systems Edge reconstructions in fractional quantum Hall systems

2003-03-18

arxiv.org/abs/cond-mat/0303359v3

Phys. Rev. B 68, 035332 (2003).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 9 figures; minor typos corrected; added 2 references

Scientific paper

10.1103/PhysRevB.68.035332

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations are present. We present a {\it microscopic} calculation of the edge states in the fractional quantum Hall systems at various filling factors using the extended Hamiltonian theory of the fractional quantum Hall effect. We find that at $\nu=1/3$ the quantum Hall edge undergoes a reconstruction as the background potential softens, whereas quantum Hall edges at higher filling factors, such as $\nu=2/5, 3/7$, are robust against reconstruction. We present the results for the dependence of the edge states on various system parameters such as temperature, functional form and range of electron-electron interactions, and the confining potential. Our results have implications for the tunneling experiments into the edge of a fractional quantum Hall system.

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