text: Clear diﬀerences are observed between the Mn XMCD 
  hysteresis loops obtained using TEY and FY detection 
  modes. For FY the magnitude of the XMCD is similar 
  (but of opposite sign) at remanence and at high mag- 
  netic ﬁelds, whereas for TEY at remanence it is approx- 
  imately a factor of two larger than at 1000 Oe. The 
  Mn L2,3 XMCD spectra recorded at remanence and at 
  1000 Oe, shown in Fig. 3, conﬁrm this result. At re- 
  manence the FY and TEY detected XMCD have similar 
  magnitudes. However, under a large external ﬁeld the 
  XMCD is substantially smaller in TEY than in FY, con- 
  ﬁrming that the net magnetization of the Mn ions near 
  the interface is signiﬁcantly less than in the bulk of the 
  (Ga,Mn)As ﬁlm. This is the case even up to the high- 
  est ﬁeld applied (20 kOe). By applying the XMCD sum 
  rules14 to the TEY data, and by comparing the spectra to 
  previous measurements on well-characterized (Ga,Mn)As 