Quasi-low-dimensional electron gas with one populated band as a testing ground for time-dependent density-functional theory

Abstract

We find the analytical solution to the time-dependent density-functional theory (TDDFT) problem for the quasi-low-dimensional (2D and 1D) electron gas (QLDEG) with only one band filled in the direction perpendicular to the system extent. The theory is developed at the level of TD exact exchange and yields the exchange potential as an explicit nonlocal operator of the spin-density. The dressed interband (image states) excitation spectra of the Q2DEG are calculated, while the comparison with the Kohn-Sham (KS) transitions provides the insight into the qualitative and quantitative role of the many-body interactions. Important cancellations between the Hartree $f_H$ and the exchange $f_x$ kernels are found in the low-density limit, shedding light on the interrelations between the KS and many-body excitations.

8 pages, 4 figures

References in corpus (4)

• Ground-State Energy as a Simple Sum of Orbital Energies in Kohn-Sham Theory: A Shift in Perspective through a Shift in Potential
• Kohn-Sham Exchange Potential for a Metallic Surface
• Exact "exact exchange" potential of two- and one-dimensional electron gases beyond the asymptotic limit
• Time-dependent localized Hartree-Fock potential

Cited by in corpus (4)

• Semilocal approximations to the Kohn-Sham exchange potential as applied to a metal surface
• Many-body quantum dynamics by the reduced density matrix based on the time-dependent density functional theory
• Cross-over between collective and independent-particle excitations in quasi-2D electron gas with one filled miniband
• Breakdown of the ionization potential theorem of density functional theory in mesoscopic systems