Dresden 2006 – wissenschaftliches Programm

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HL: Halbleiterphysik

HL 9: Poster I

HL 9.107: Poster

Montag, 27. März 2006, 15:15–17:45, P3

Local properties of disordered fractional quantum hall systems — •Christian Mueller and Daniela Pfannkuche — Jungiusstrasse 9 20355 Hamburg

We propose a new method to study the local properties of highly correlated FQH states when disorder is present. The method is based on the correlations between electrons and wavefunction vortices which characterizes different fractional quantum Hall states. We calculate the conditional electron-vortex correlation function g_x,y^r₀ for finite size systems at different filling factors and disorder potentials. Monte-Carlo-techniques are used to evaluate the multidimensional integrals involving few-electron-wavefunctions obtained from an exact diagonalization of the Hamiltonian. Usage of the method is demonstrated in a fully spin polarized ν=1/3 state with up to 6 electrons. The system is disturbed by several disorder potential types. Regions of different filling factors can de distinguished by comparison of the conditional correlation functions.