  We study an unconventional chiral random matrix model with a heavy-tailed
probabilistic weight. The model is shown to exhibit chiral symmetry breaking
with no bilinear condensate, in analogy to the Stern phase of QCD. We solve the
model analytically and obtain the microscopic spectral density and the smallest
eigenvalue distribution for an arbitrary number of flavors and arbitrary quark
masses. Exotic behaviors such as non-decoupling of heavy flavors and a
power-law tail of the smallest eigenvalue distribution are illustrated.
