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Complete report - Donostia International Physics Center - Euskal ...

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2011 DIPC Highlight<br />

Quantum plasmon tsunami<br />

on a Fermi sea<br />

Lucas, G. Benedek, M. Sunjic, and P.M. Echenique<br />

New Journal of <strong>Physics</strong> 13, 013034 (2011)<br />

A highly charged ion flying-by a fullerene molecule violently strips away one of its valence electrons<br />

leaving behind a plasmon quantum tsunami, consisting in a coherent state of excitations<br />

of the charge density. The electron transfer confers an energy gain to the ion minus the energy<br />

required to excite the plasmon coherent states. By explaining a 15-years-old conundrum raised<br />

by state-of-the-art scattering experiments, a team of researchers from DIPC and the Universities<br />

of Namur, Milano-Bicocca and Zagreb suggest a new tool to investigate energetic collective excitations<br />

in nanostructures.<br />

A beam of energetic, highly charged Ar q+ ions is sent through a dilute C 60 fullerene vapor. An ion, which<br />

happens to pass by a neutral molecule, strongly polarizes it to the point where it may capture one or several<br />

electrons which land onto the ion discrete Rydberg states (Figure). The electronic potential energy released<br />

by the charge transfer causes an increase of the ion kinetic energy: Some understanding of the<br />

basis of the mechanism was already pointed out some years ago however, the highly unexpected shape<br />

of the measured energy gain distributions could not find a straightforward explanation. The gain curves<br />

extend smoothly to very high energies and are topped, from beginning to end, by series of small oscillations<br />

of 6 eV period (see Figure inset (a)), which evidently bear very little relation to the underlying set of<br />

discrete ion Rydberg levels. The work summarized here demonstrates that the discrete Rydberg spectrum<br />

is the due to the occurrence of a plasmon tsunami on the molecule. This consists of a violent rearrangement<br />

of valence electrons around the positive hole left behind on C 60 by the fast electron transfer. Charge<br />

density waves rush to screen the naked positive hole as it suddenly appears. This causes multiple plasmon<br />

excitations whose energy quanta are provided by the ion kinetic energy. The electrons always land on Rydberg<br />

levels but the energy liberated is apportioned between the ion kinetic energy increase and creations<br />

of plasmons. Thus the intensity of the kinetic energy gain peak, expected to appear at the nominal position<br />

of a Rydberg level, is in fact redistributed over a Poissonian series of plasmon peaks (hence the oscillations)<br />

extending on the loss side of the level.<br />

The theory developed in this work convincingly accounts for the observed spectra for all momenta q, as<br />

shown in the Figure inset (b). The phenomenon is a real electrodynamical quantum tsunami on the molecule<br />

which rings like a bell whenever one or several of its electrons are stripped away by the ion. The experimental<br />

method of highly charged ion energy gain spectroscopy, supported by the new understanding<br />

of the present theory, offers a novel opportunity to investigate collective excitations in a variety of nanostructures<br />

such as large molecules, atomic clusters or solid surfaces.<br />

A highly-charged argon ion, e.g., Ar 15+ , when passing through C 60 gas can fly by a molecule so as to violently<br />

strip away and capture one of its valence electrons (e − ). Charge density waves rush to screen the positive hole<br />

left behind on C 60 thus raising a tsunami of coherent plasmon excitations (orange waves) whose energy quanta<br />

are provided by the ion kinetic energy. The ion gains the energy released by the electron in dropping into a<br />

Rydberg state of the ion, decrease however by the energy required to excite a coherent distribution of C 60 plasmons.<br />

The gain spectra for one and two electron transfers measured by Selberg et al (inset (a)) are well reproduced<br />

by theory (inset (b)) once both and plasmons of C 60 are considered.<br />

A highly charged ion strips away a<br />

valence electron from a molecule leaving<br />

behind a plasmon quantum tsunami.<br />

58 DIPC 10/11<br />

DIPC 10/11 59

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