We propose a Lifshitz argument in order to analyse the low energy spectrum of an electron moving in a strong magnetic field and scattered by randomly distributed repulsive zero-range impurities. The typical configurations of disorder which give rise to low energy states are identified as clusters of impurities. This allows for an interpretation of low-lying states localized around these clusters.
Laughlin-Jastrow-correlated Wigner crystal in a strong magnetic field
Monotonic growth of interlayer magnetoresistance in strong magnetic field in very anisotropic layered metals
A Band of Critical States in Anderson Localization at Strong Magnetic Field with Random Spin-Orbit Scattering
