We present an application of the current-density functional formalism to a nonuniform many-fermion system in a strong magnetic field. To this end, we construct a current-dependent local ground-state energy functional and derive self-consistent equations for the current density associated with a given density profile. We apply the formalism to the calculation of the surface properties of an electron-hole droplet and we find that the surface tension of the droplet is a rapidly increasing function of the magnetic field.
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Vignale et al. (1992) studied this question.
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