Supplement II to the Physics of the Fractional Quantum Hall Effect

A framework was presented for the understanding of both the Integer (I)- and the Fractional (F)-Quantum Hall Effect (QHE), including the widths of their plateaus. This second supplement clarifies and visualizes further details of the FQHE, attempting to explain the odd-m-selection rule through geometrical considerations. The previously established realistic description of the FQHE allows for the derivation of the strengths among observed ν = n/m-FQHE-states, revealing that n is the number of electrons on m Landau surfaces, with m limited to odd values. These strengths translate into the widths of the FQHE plateaus via phase transition approximations between disorder and order. A summary of essentials highlights that an isolated two-dimensional electron system (2DES) is unsustainable, necessitating compensation from a layer of positive charges. The investigation further explores interactions that introduce symmetry breaking, potentially explaining deviations from the odd-m-selection rule. The interactions among electrons in different Landau levels are examined, revealing their influence on ν=5/2 and 7/2-FQHE states, while positing that the ν=3/2 state may not appear experimentally due to these interactions. A comprehensive understanding of the Landau problem incorporating electron-electron interactions is deemed crucial for answering these questions.