☆ 4.6 Article

Time-dependent exchange-correlation hole and potential of the electron gas

PHYSICAL REVIEW B (2023)

Spectral functions of the half-filled one-dimensional Hubbard chain within the exchange-correlation potential formalism

F. Aryasetiawan et al.

Summary: The spectral functions of a one-dimensional Hubbard chain with one energy band and half-filled system are calculated using the exchange-correlation potential formalism. The results are consistent with those obtained from the dynamic density-matrix renormalization group method. The formal general solution to the equation of motion of the Green's function is presented.

PHYSICAL REVIEW B (2022)

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Article Materials Science, Multidisciplinary

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

F. Aryasetiawan

Summary: It is found that the equation of motion for the one-particle Green function in an interacting many-electron system is determined by a time-dependent exchange-correlation potential, which is the Coulomb potential of a time-varying exchange-correlation hole. This exchange-correlation hole satisfies a sum rule, extending the well-known sum rule of the static exchange-correlation hole. It is suggested that this proposed formalism may offer an alternative approach for calculating the Green function by approximating the exchange-correlation hole or potential using techniques such as the local-density approximation.

PHYSICAL REVIEW B (2022)

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Editorial Material Chemistry, Physical