Model for the Fractional Quantum Hall Effect problem

Details Model for the Fractional Quantum Hall Effect problem Model for the Fractional Quantum Hall Effect problem

2012-03-21

arxiv.org/abs/1203.4838v1

J. Phys. IV France, vol. 12, Pr9-373 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, based on a talk at the International workshop on electronic crystals, Saint Flour, France

Scientific paper

10.1051/jp4:20020441

A simple one-dimensional model is proposed, in which N spinless repulsively interacting fermions occupy M>N degenerate states. It is argued that the energy spectrum and the wavefunctions of this system strongly resemble the spectrum and wavefunctions of 2D electrons in the lowest Landau level (the problem of the Fractional Quantum Hall Effect). In particular, Laughlin-type wavefunctions describe ground states at filling factors v = N/M = 1(2m+1). Within this model the complimentary wavefunction for v = 1-1/(2m + 1) is found explicitly and extremely simple ground state wavefunctions for arbitrary odd-denominator filling factors are proposed.

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