  Fermions in the Fermi gas obey the Pauli exclusion principle restricting any
two fermions from filling the same quantum state. Strong interaction between
fermions can completely change the properties of the Fermi gas. In our
theoretical study we find a new exotic quantum phase in strongly interacting
Fermi gases constrained to a certain condition imposed on the Fermi surfaces
which we call the Fermi surface resonance. The new phase is quantum critical
which can be identified by the power-law frequency tail of the spectral density
and divergent static susceptibilities. An especially striking feature of the
new phase is the anomalous power-law temperature dependence of the dc
resistivity that is similar to strange metals. The new quantum critical phase
can be experimentally found in ordinary semiconductor heterostructures.
