Dynamic exchange-correlation potentials for the electron gas in dimensionality D=3 and D=2
| dc.creator | Nifosi', R. | |
| dc.creator | Conti, S. | |
| dc.creator | Tosi, M. P. | |
| dc.date | 1998-07-06 | |
| dc.date.accessioned | 2026-07-07T12:16:42Z | |
| dc.date.available | 2026-07-07T12:16:42Z | |
| dc.description | Recent progress in the formulation of a fully dynamical local approximation to time-dependent Density Functional Theory appeals to the longitudinal and transverse components of the exchange and correlation kernel in the linear current-density response of the homogeneous fluid at long wavelength. Both components are evaluated for the electron gas in dimensionality D=3 and D=2 by an approximate decoupling in the equation of motion for the current density, which accounts for processes of excitation of two electron-hole pairs. Each pair is treated in the random phase approximation, but the role of exchange and correlation is also examined; in addition, final-state exchange processes are included phenomenologically so as to satisfy the exactly known high-frequency behaviours of the kernel. The transverse and longitudinal spectra involve the same decay channels and are similar in shape. A two-plasmon threshold in the spectrum for two-pair excitations in D=3 leads to a sharp minimum in the real part of the exchange and correlation kernel at twice the plasma frequency. In D=2 the same mechanism leads to a broad spectral peak and to a broad minimum in the real part of the kernel, as a consequence of the dispersion law of the plasmon vanishing at long wavelength. The numerical results have been fitted to simple analytic functions. | |
| dc.description | 13 pages, 11 figures included. Accepted for publication in Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9807085 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9807085 | |
| dc.identifier | Phys.Rev.B58:12758,1998 | |
| dc.identifier | doi:10.1103/PhysRevB.58.12758 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211886 | |
| dc.subject | Condensed Matter | |
| dc.title | Dynamic exchange-correlation potentials for the electron gas in dimensionality D=3 and D=2 | |
| dc.type | text |