Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-12-10
Phys. Rev. A, vol. 79, 032502 (2009)
Physics
Condensed Matter
Other Condensed Matter
11 pages; minor corrections; details added
Scientific paper
10.1103/PhysRevA.79.032502
We study the Kohn-Sham scheme for the calculation of the steady state linear response to a harmonic perturbation that is turned on adiabatically. Although in general the exact time dependent exchange-correlation potential cannot be expressed as the functional derivative of a universal functional due to the so-called causality paradox, we show that for a harmonic perturbation the exchange-correlation part of the first-order Kohn-Sham potential $v_s^{(1)}(r) \cos(\omega t)$ is given by $v_{xc}^{(1)}(r) = \delta K_{xc}^{(2)}/\delta n^{(1)}(r)$. $K_{xc}^{(2)}$ is the exchange-correlation part of the second-order quasienergy $K_v^{(2)}$. The Frenkel variation principle implies a stationary principle for the second-order quasienergy. We also find an analogous stationary principle and KS scheme in the time dependent extension of one-matrix functional theory, in which the basic variable is the one-matrix (one-body reduced density matrix).
Pankratov Oleg
Requist Ryan
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