TY - JOUR

T1 - Time-dependent current-density functional theory for the friction of ions in an interacting electron gas

AU - Nazarov, V. U.

AU - Pitarke, J. M.

AU - Takada, Y.

AU - Vignale, G.

AU - Chang, Y. C.

PY - 2008/9/10

Y1 - 2008/9/10

N2 - Due to the strongly nonlocal nature of fxc(r,r',ω), the scalar exchange and correlation (xc) kernel of the time-dependent density functional theory (TDDFT), the formula for Q the friction coefficient of an interacting electron gas (EG) for ions tends to give too large a value of Q for heavy ions in the medium- and low-density EG, if we adopt the local-density approximation (LDA) to fxc(r, r', ω), even though the formula itself is formally exact. We have rectified this unfavorable feature by reformulating the formula for Q in terms of the tensorial xc kernel of the time-dependent current-density functional theory, to which the LDA can be applied without intrinsic difficulty. Our numerical results find themselves in considerably better agreement with the experimental stopping power of Al and Au for slow ions than those previously obtained within the LDA to the TDDFT.

AB - Due to the strongly nonlocal nature of fxc(r,r',ω), the scalar exchange and correlation (xc) kernel of the time-dependent density functional theory (TDDFT), the formula for Q the friction coefficient of an interacting electron gas (EG) for ions tends to give too large a value of Q for heavy ions in the medium- and low-density EG, if we adopt the local-density approximation (LDA) to fxc(r, r', ω), even though the formula itself is formally exact. We have rectified this unfavorable feature by reformulating the formula for Q in terms of the tensorial xc kernel of the time-dependent current-density functional theory, to which the LDA can be applied without intrinsic difficulty. Our numerical results find themselves in considerably better agreement with the experimental stopping power of Al and Au for slow ions than those previously obtained within the LDA to the TDDFT.

KW - Current-density functional theory

KW - Stopping power

KW - Time-dependent density functional theory

UR - http://www.scopus.com/inward/record.url?scp=52449118013&partnerID=8YFLogxK

U2 - 10.1142/S0217979208048759

DO - 10.1142/S0217979208048759

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:52449118013

SN - 0217-9792

VL - 22

SP - 3813

EP - 3839

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 22

ER -