The effect of a frequency-dependent exchange and correlation kernel on the multipole surface plasmon frequency of a bare jellium aluminium surface

The dynamic exchange-correlation (XC) kernel of Gross, Kohn and Iwamoto (1985-87) is analytically continued into the lower-half frequency plane and incorporated in a microscopic calculation of multipole surface plasmon dispersion on a jellium aluminium surface. The multipole mode found in earlier calculations using a static XC kernel is still present, the change to dynamic XC causing a small frequency shift and a more substantial percentage increase in damping.