We propose new trial wave functions generalizing the Laughlin wave function for the Fractional Quantum Hall Effect to arbitrary fractional filling. Starting from a systern of N interacting electrons with a "colour" quantum number, we obtain, by an adiabatic interpolation through anyon hamiltonians, a trial wave function for identical electrons both for planar and spherical geometry. Monte Carlo sinmlations of the equivalent classical plasma give ground state energies confirming the reliability of the proposed wave fimctions.
A new FQHE trial wave function for planar and spherical geometry
LUBRITTO, Carmine
1996
Abstract
We propose new trial wave functions generalizing the Laughlin wave function for the Fractional Quantum Hall Effect to arbitrary fractional filling. Starting from a systern of N interacting electrons with a "colour" quantum number, we obtain, by an adiabatic interpolation through anyon hamiltonians, a trial wave function for identical electrons both for planar and spherical geometry. Monte Carlo sinmlations of the equivalent classical plasma give ground state energies confirming the reliability of the proposed wave fimctions.File in questo prodotto:
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