q-deformed Landau diamagnetism problem embedded in D-dimensions

► We study q-deformation in Landau diamagnetism problem in a D-dimensional space. ► It seems to be related to impurities in a sample of a diamagnetic material. ► Bulk sample larger than thermal wavelength minimizes magnetization at D=3. ► The susceptibility varies with the material size according to a new power law. ► The deviations to a power law L3+n may reveal a signature of extra dimensions.