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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