R. Alicki et Jr. Klauder, THE ANOMALOUS QUANTUM HALL CURRENT-DRIVEN BY A NONUNIFORM MAGNETIC-FIELD, Journal of physics. A, mathematical and general, 27(7), 1994, pp. 120000219-120000221
The existence of an electric current driven by the gradient of the mag
netic field in an idealized quantum Hall effect device is predicted as
a consequence of the anomalous magnetic moment of the electron (g - 2
not-equal 0) along with the exact Landau ground-state degeneracy for
the two-dimensional Pauli Hamiltonian with and arbitrary magnetic fiel
d.