HOPFIELD MODELS AND SPIN-DENSITY WAVES IN METALLIC SPIN-GLASSES

Some parallels are found between the spin-interaction Hamiltonian produced by incipient spin-density waves and the multicomponent Mattis models which give Hopfield associative memories. The approximate criterion found by Feigelman and Ioffe for the crossover from spin glass to "spoiled helical" order is seen to follow easily from this analogy. The analogy allows a rather trivial extension of the Feigelman-Ioffe criterion to cases, such as Cu1-xMnx, in which there are multiple but not infinitely multiple spin-density wavelike components together with short-range magnetic order.