<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math>dependence of the energy loss of an ion passing through an electron gas

Sung, C. C.; Ritchie, R.H.

doi:10.1103/physreva.28.674

Cited by 65 publications

(16 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…10 Second-order perturbative calculations, which do not have the limitation of being restricted to low projectile velocities, have been reported by different authors with use of the random-phase approximation (RPA) and by treating the moving charged particle as a prescribed source of energy and momentum. [11][12][13][14][15] In this paper, we report a many-body theoretical approach to the quadratic decay rate, energy loss, and wake potential of charged particles moving in an interacting FEG. The decay rate is derived from the knowledge of the projectile self-energy.…”

mentioning

confidence: 99%

Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation

Río‐Gaztelurrutia¹,

Pitarke

2000

Phys. Rev. B

View full text Add to dashboard Cite

A nonlinear description of the interaction of charged particles penetrating a solid has become of basic importance in the interpretation of a variety of physical phenomena. Here we develop a manybody theoretical approach to the quadratic decay rate, energy loss, and wake potential of charged particles moving in an interacting free electron gas. Explicit expressions for these quantities are obtained either within the random-phase approximation (RPA) or with full inclusion of short-range exchange and correlation effects. The Z 3 1 correction to the energy loss of ions is evaluated beyond RPA, in the limit of low velocities.When charged particles pass through a solid, energy can be lost to the medium through various types of elastic and inelastic collision processes. 1 While at relativistic velocities radiative losses may become important, for moving charged particles in the non-relativistic regime the energy loss is primarily due to electron-electron (e-e) interactions giving rise to the generation of electron-hole pairs, collective excitations such as plasmons, and innershell excitations and ionizations. Energy losses due to nuclear recoil are negligible, unless the projectile velocity is very small compared to the mean speed of electrons in the solid. 2 The inelastic decay rate of charged particles in a degenerate interacting free electron gas (FEG) has been calculated for many years in the first-Born approximation or, equivalently, within linear-response theory. This is a good approximation when the velocity of the projectile is much greater than the average velocity of target electrons. However, in the case of projectiles moving with smaller velocities, nonlinearities have been shown to play a key role in the interpretation of a variety of experiments. Energy-loss measurements have revealed differences, not present within linear-response theory, between the energy loss of protons and antiprotons. 3,4 Moreover, experimentally observed coherent double-plasmon excitations 5,6 cannot be described within linear-response theory, and nonlinearities may also play an important role in the electronic wake generated by moving ions in a FEG. 7 Pioneering nonlinear calculations of the electronic energy loss of low-energy ions in an electron gas were performed by Echenique et al . 8 These authors computed the scattering cross section for a statically screened potential, which was determined self-consistently using densityfunctional theory (DFT). 9 These static-screening calculations have recently been extended to velocities approaching the Fermi velocity. 10 Second-order perturbative calculations, which do not have the limitation of being restricted to low projectile velocities, have been reported by different authors with use of the random-phase approximation (RPA) and by treating the moving charged particle as a prescribed source of energy and momentum. [11][12][13][14][15] In this paper, we report a many-body theoretical approach to the quadratic decay rate, energy loss, and wake potential of charged particles moving in ...

show abstract

mentioning

confidence: 99%

Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation

Río‐Gaztelurrutia¹,

Pitarke

2000

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…2 exhibits the separate RPA e-h pair and plasmon contributions to the Z 2 1 stopping power of Eq. (15). This figure shows that the contribution from losses to plasmons is smaller for all projectile velocities than the contribution from losses to e-h pairs, which is especially true at high electron densities, although both contributions coincide in the high-velocity limit.…”

Section: Stopping Powermentioning

confidence: 68%

“…While lowest-order perturbation theory leads to energy losses that are proportional to the square of the projectile charge Z 1 e, the energy loss of either positive and negative pions [11] or protons and antiprotons [12,13] is known to exhibit a measurable dependence on the sign of the charge [14,15,16]. Experimentally observed nonlinear double-plasmon excitations [17,18] are also beyond the realm of standard linear-response theory [19,20,21], nonlinearities may play an im-portant role in the electronic wake generated by moving ions in solids [22,23], and lowest-order perturbation theory breaks down when the projectile is capable of carrying bound electrons with it [24].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear, Band-Structure, and Surface Effects in the Interaction of Charged Particles with Solids

Pitarke¹,

Gurtubay²,

Nazarov³

2004

Advances in Quantum Chemistry

View full text Add to dashboard Cite

A survey is presented of various aspects of the interaction of charged particles with solids. In the framework of many-body perturbation theory, we study the nonlinear interaction of charged particles with a free gas of interacting electrons; in particular, nonlinear corrections to the stopping power are analyzed, and special emphasis is made on the separate contributions that are originated in the excitation of either electron-hole pairs, single plasmons, or double plasmons. Ab initio calculations of the electronic energy loss of ions moving in real solids are also presented, and the energy loss of charged particles interacting with simple metal surfaces is addressed.

show abstract

“…Namely, linear theory of stopping for individual point-like particles with the charge of Z proton charges gives the stopping force of the order ∼ Z 2 , whereas nonlinear effects within the Barkas effect give a correction to the linear theory for point-like charges of the order ∼ Z 3 (11), which accounts for the most of the observed charge-sign dependence (9,10). While these nonlinear effects in stopping of single charges have been studied over the years (6,8,(12)(13)(14)(15), only a few studies appeared on such effects on stopping of clusters of charges, and most of those studies were limited to slow diatomic particles (16)(17)(18). The stopping of fast clusters was mostly treated by linear theories (4,5,(19)(20)(21), with only two notable exceptions (22,23).…”

Section: Introductionmentioning

confidence: 98%

Barkas effect in stopping of fast diclusters in solids

Wilson

Mišković

2016

Radiation Effects and Defects in Solids

View full text Add to dashboard Cite

We study the stopping of a fast proton dicluster moving through a metal target with an electron gas described by a hydrodynamic model. Both the first-order and the second-order expressions are derived and computed for the total stopping force on the cluster, giving a nonlinear correction of the Barkas type. Results are shown as functions of the cluster speed and the interproton distance in the cases of a randomly oriented dicluster and a colinear dicluster consisting of two protons aligned in the direction of motion. We find that the Barkas correction increases the overall stopping force, especially at lower speeds and shorter interproton distances. While the Barkas correction is found to accentuate interferences in the vicinity effect for colinear diclusters, it presents an insignificant contribution to the vicinity effect for randomly oriented diclusters. ARTICLE HISTORY

show abstract

Z13dependence of the energy loss of an ion passing through an electron gas

Cited by 65 publications

References 19 publications

Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation

Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation

Nonlinear, Band-Structure, and Surface Effects in the Interaction of Charged Particles with Solids

Barkas effect in stopping of fast diclusters in solids

Contact Info

Product

Resources

About