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

Abstract

Due to the strongly nonlocal nature of $f_{xc}(\mathbf{r},{\mathbf{r}}^{\prime },\omega )$ the {\em 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 a too large value of Q for heavy ions in the medium- and low-density EG, if we adopt the local-density approximation (LDA) to $f_{xc}(\mathbf{r},{\mathbf{r}}^{\prime },\omega )$, even though the formula itself is formally exact. We have rectified this unfavorable feature by reformulating the formula for Q in terms of the {\em 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 a 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.

arXiv comment26 pages, 3 figures

References in corpus (8)

• Current-dependent exchange-correlation potential for dynamical linear response theory
• Time-dependent density functional theory beyond the adiabatic local density approximation
• Dynamical corrections to the DFT-LDA electron conductance in nanoscale systems
• The Elasticity of an Electron Liquid
• Time-dependent current density functional theory for the linear response of weakly disordered systems
• Including nonlocality in exchange-correlation kernel from time-dependent current density functional theory: Application to the stopping power of electron liquids
• Time-Dependent Density-Functional Theory for the Stopping Power of an Interacting Electron Gas for Slow Ions
• Time-dependent density-functional theory approach to nonlinear particle-solid interactions in comparison with scattering theory

Cited by in corpus (6)

• Core electrons in the electronic stopping of heavy ions
• Non-adiabatic time-dependent density functional theory of the impurity resistivity of metals
• Electronic friction coefficients from the atom-in-jellium model for $Z=1-92$
• Anti-adiabatic limit of the exchange-correlation kernels of an inhomogeneous electron gas
• On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory
• Many-body interactions in the dielectric theory of stopping power of solids for classical and quantum projectiles