  Consequences of an exceedingly strong electric field (E field) on the ground
state energetics and transport properties of a 2D spinless electron gas in a
perpendicular magnetic field (a Quantum Hall Effect (QHE) configuration) are
investigated to all orders in the fields. For a conventional semiconductor, we
find fractional values of the Hall conductivity and some magnetoelectric
coefficients for certain values of E and B fields that do not result from
interactions or impurities, but are a pure consequence of a strong enough
in-plane E field. We also determine analytically the ground state energy, and
response properties such as magnetization and polarization as functions of the
electromagnetic field in the strong E field limit. In the case of Graphene, we
obtain more complex behaviors leading to the possibility of irrational Hall
values. The results are also qualitatively discussed in connection to various
mechanisms for the QHE-breakdown.
