Classical magnetoresistance of a ballistic electron gas constrained to non-planar topographies in a lattice of antidots under tilted magnetic field

► A classical ballistic two-dimensional electron gas subjected to constraints is modeled. ► Geometrical constraints coupled the degrees of freedom and introduced additional drift and disorder. ► Low field magnetoresistance in antidote lattice evolutes to negative behavior when disorder increases. ► Constraints introduce chaos in electron transport.