Theory of image peaks in the IQHE regime with correlated disorder potential

The problem of σxx peaks has been studied theoretically in the regime of integer quantum Hall effect (IQHE) for disorder potentials with arbitrary correlation length to magnetic length ratio λ/aH. We obtained analytical solutions for two limiting cases of long-wavelength disorder potential, View the MathML source, and short-wavelength disorder potential, λ⪡aH. The case of intermediate λ/aH ratio has been studied numerically. Our results are in good agreement with available experimental data but not with the hypothesis of universality due to Khmelnitskii and Pruisken.