Abstract
This paper proposes that, in a two-dimensional electron gas, the angular momentum of Landau level electrons influences the exchange symmetry of identical particles, thereby following a non-intrinsic statistical law. Specifically, when the two-dimensional angular momenta of two electrons satisfy certain conditions, the two electrons become equivalent to bosons in their exchange symmetry, allowing them to form composite bosons, which, at specific filling factors, can undergo Bose-Einstein condensation (BEC) and form BEC plateaus. Only the electrons within the BEC participate in conduction, and the Hall conductance plateaus are a direct manifestation of the BEC plateaus; when the Hall conductance is on a plateau, the additionally filled electrons are not in localized states, but rather do not participate in conduction because they lack superfluid properties. The electrons in the BEC state exhibit superfluidity, which prevents the establishment of an electric field in the bulk; consequently, no longitudinal current exists in the bulk, and the current naturally concentrates at the boundaries with chiral characteristics, while the longitudinal resistance vanishes. From a physical perspective, this work provides a unified explanation for the Hall conductance plateaus in the integer quantum Hall effect, the fractional quantum Hall effect, the quantum anomalous Hall effect, and bosonic systems: their formation originates from the new non-intrinsic statistical law and does not rely on localized states.
