Time-dependent exchange-correlation potential in lieu of self-energy

Abstract

It is shown that the equation of motion of the one-particle Green function of an interacting many-electron system is governed by a multiplicative time-dependent exchange-correlation potential, which is the Coulomb potential of a time-dependent exchange-correlation hole. This exchange-correlation hole fulfills a sum rule, a generalization of the well-known sum rule of the static exchange-correlation hole. It is envisaged that the proposed formalism may provide an alternative route for calculating the Green function by finding a suitable approximation for the exchange-correlation hole or potential based on, e.g., a local-density approximation.

7 pages, 2 figures, extension to non-equilibrium case and a new example have been added

Cited by in corpus (5)

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• Spectral functions of the half-filled 1D Hubbard chain within the exchange-correlation potential formalism
• Time-dependent exchange-correlation hole and potential of the electron gas
• Dynamical exchange-correlation potential formalism for spin-$\frac{1}{2}$ Heisenberg and Hubbard chains: the antiferromagnetic/half-filled case
• Kondo spectral functions at low-temperatures: A dynamical-exchange-correlation-field perspective