Scattering on magnetic skyrmion in the non-adiabatic approximation
  We present a theory of electron scattring on a magnetic skyrmion for the case when exchange interaction is moderate so that adiabatic approximation and Berry phase approach is not applicable. The theory explains the appearance of a topological Hall current in the systems with magnetic skyrmions, of a special importance its applicability to dilute magnetic semiconductors with a weak exchange interaction. 
K. S. Denisov and I. V. Rozhansky and N. S. Averkiev and E. Lahderanta
cond-mat.mes-hall cond-mat.other