  We study the Hall response of quasi-two-dimensional lattice systems of
charged fermions under a weak transverse magnetic field, in the ballistic
coherent limit. We identify a setup in which this response vanishes over a wide
range of parameters: the paradigmatic "Landauer-B\"uttiker" setup commonly
studied for coherent quantum transport, consisting of a strip contacted to
biased ideal reservoirs of charges. We show that the effect does not rely on
particle-hole symmetry, and is robust to a variety of perturbations including
variations of the transverse magnetic field, chemical potential, and
temperature. We trace this robustness back to a topological property of the
Fermi surface: the number of Fermi points (central charge) of the system. We
argue that the mechanism responsible for the vanishing Hall response can
operate both in noninteracting and interacting systems, which we verify in
concrete examples using density-matrix renormalization group (DMRG)
simulations.
