Abstract
This paper proposes that, within a two-dimensional electron gas, the angular momentum of electrons occupying Landau levels modifies the exchange symmetry of identical particles, giving rise to a novel non-intrinsic statistical law. Under this law, pairs of electrons satisfying appropriate conditions exhibit effective bosonic statistics and form composite bosons. Such composite bosons undergo Bose--Einstein condensation (BEC) at specific filling factors and thereby produce plateaus that manifest experimentally as Hall conductance plateaus. The emergent BEC phase hosts superfluid behaviour that suppresses bulk electric fields. Consequently, longitudinal current is absent in the bulk, and charge current accumulates along sample boundaries with chiral edge character. This work provides a unified framework to understand Hall conductance plateaus across the integer quantum Hall effect, fractional quantum Hall effect, quantum anomalous Hall effect, and bosonic systems. We argue that these plateaus originate from the aforementioned non-intrinsic statistical law, disorder determines the finite plateau width, and plateau formation does not rely on localized states. The proposed mechanism may be verified via equilibrium specific-heat measurements under zero-current conditions.
