Large positive magnetoresistance has been observed in parallel magnetic fie
lds in a single 2D layer in a delta-doped GaAs/AlGaAs heterostructure with
a variable-range-hopping (VRH) mechanism of conductivity. This implies that
spins play an important role in 2D VRH conductivity. A possible explanatio
n involves hopping via double occupied states in the upper Hubbard band, wh
ere the intra-state correlation of spins is important.