  We consider a PT-symmetric Fermi gas with an exceptional point, representing
the critical point between PT-symmetric and symmetry broken phases. The low
energy spectrum remains linear in momentum and is identical to that of a
hermitian Fermi gas. The fermionic Green's function decays in a power law
fashion for large distances, as expected from gapless excitations, albeit the
exponent is reduced from $-1$ due to the quantum Zeno effect. In spite of the
gapless nature of the excitations, the ground state entanglement entropy
saturates to a finite value, independent of the subsystem size due to the
non-hermitian correlation length intrinsic to the system. Attractive or
repulsive interaction drives the system into the PT-symmetry broken regime or
opens up a gap and protects PT-symmetry, respectively. Our results challenge
the concept of universality in non-hermitian systems, where quantum criticality
can be masked due to non-hermiticity.

Strongly Correlated Electrons;Quantum Gases