  A fermionic random matrix model, which is a 0-dimensional version of the SYK
model with replicas, is considered. The replica-off-diagonal correlation
functions vanish at finite N, but we show that they do not vanish in the large
N limit due to spontaneous symmetry breaking. We use the Bogoliubov
quasi-averages approach to studying phase transitions. The consideration may be
relevant to the study of the problem of existence of the spin glass phase in
fermionic models.
