Quantum Oscillations in Insulators with Neutral Fermi Surfaces

We describe a theory of quantum oscillations in insulators with a fermi sea of neutral fermions minimally coupled to an emergent U(1) gauge field. In the presence of a physical magnetic field the emergent magnetic field develops a non-zero value leading to Landau quantization for the neutral fermions. We will describe the temperature and magnetic field dependence of oscillations in magnetization and in electrical resistivity and discuss suitable experimental conditions for the observation of these effects in the composite exciton fermi liquid state proposed in mixed valence insulators as well as in the spinon fermi surface state proposed in triangular organic materials.