Abstract
This paper is an investigation of the properties of excitonic matter in a superstrong magnetic field. The binding energy of an excitonic molecule is first calculated as a function of the magnetic field. The molecule is found to be bound relative to two excitons and so is expected to occur when the electron-hole concentration is small. When the electron-hole concentration is large, a new phase consisting of a two-dimensional van der Waals solid of electron-hole cylinders is proposed---analogous to situations at the surface of neutron stars. The binding energy of these cylinders is calculated for the case that the electron and hole have equal isotropic masses.
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