  We study the temperature dependence of spin Hall magnetoresistance (SMR) in
antiferromagnetic insulator (AFI)/metal bilayer systems. We calculate the
amplitude of the SMR signal by using a quantum Monte Carlo simulation and
examine how the SMR depends on the amplitude of the spin, thickness of the AFI
layer, and randomness of the exchange interactions. Our results for simple
quantum spin models provide a useful starting point for understanding SMR
measurements on atomic layers of magnetic compounds.
