Numerical study of two-dimensional Wigner glass in strong magnetic fields

A numerical study of a two-dimensional electron system in strong magnetic fields in the presence of both random potential and electron-electron interaction is performed. The formalism covers arbitrary values of the relative strength of random potential and Coulomb interaction, and the numerical results exhibit a behaviour ranging from the Wigner crystallization with strong Coulomb interaction to the previously reported Anderson localization when the random potential is dominant. It is shown that, in the general case when both randomness and electron-electron interaction are present on an equal footing, the ground state of the system consists of an amorphous array of charge density maxima, which may be thought of as a "Wigner glass".