“…14,16,17,18 In this way, we determined the thickness, Mn concentration x 20,21 , and M for the individual layers in each of the samples studied. 22 Three 1 cm x 2 cm rectangular samples were prepared by molecular beam epitaxy on GaAs substrates 23 with the following layer structure (starting at the substrate interface): a 16 ±2 nm bottom layer of FM x = 0.05 ±0.015 Ga 1-x Mn x As, a non-magnetic GaAs spacer, an 8 ±2 nm top layer of FM x = 0.05 ±0.015 Ga 1-x Mn x As, and a 25 ±1.5 nm Al 0.25 Be 0.31 Ga 0.44 As cap. 24 We observe that nominally 25 the three samples are structurally identical except for the spacer thickness, which is 12 ±1 , 6 ±1 , and 3 ±1 nm, respectively.…”