Two-dimensional electron-hole systems in a strong magnetic field: Composite fermion picture for multicomponent plasmas

Electron-hole systems on a Haldane sphere are studied by exact numerical diagonalization. Low-lying states contain one or more types of bound charged excitonic complexes Xₖ^-, interacting through appropriate pseudopotentials. Incompressible ground states of such multicomponent plasmas are found. A generalized multicomponent Laughlin wave function and composite fermion picture are shown to predict the low-lying states of an electron-hole gas at any value of the magnetic field.