Pierre Longe
University of Liège
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Featured researches published by Pierre Longe.
Solid State Communications | 1996
Pierre Longe; S.M. Bose
The dielectric function of a spherical two-dimensional electron gas (2DEG) is calculated in the framework of the random phase approximation. The whole spectrum of electron-hole and plasmon excitations is then calculated numerically, along with the electron energy loss function. The dispersion and strength of the plasmon mode as functions of the angular momenta are also obtained. The results are compared with those of a planar 2DEG with the same areal density.
Solid State Communications | 1970
F. Brouers; Pierre Longe; B. Bergersen
Abstract The importance of using a pseudopotential to calculate the contribution of the core hole potential to the intensity of the emission and absorption X-ray spectra in metals is emphasized.
Solid State Communications | 1985
Pierre Longe; S.M. Bose
Abstract A theory is presented for the energy loss spectra of photoelectrons emitted from atoms located outside a metal sample at a distance z0 from the surface. These electrons travelling along trajectories parallel to the surface, loss energy mostly by surface plasmon excitation, the losses by bulk plasmon or pair excitations being negligible. The intensity of losses by surface plasmon excitations is found to be proportional to the logarithm of the length l of the trip of the photoelectrons along the surface, a length which extends from the emitting atom to the surface edge. But this intensity does not depend on the distance z0 as long as z0/l small. Considering only the high energy photoemission where the initial energy ϵ0 of the electrons is much larger than the surface plasmon energy ωs, we find that these l-dependent losses only occur when the angle of emergence is smaller than (ω s /ϵ 0 ) 1 2 and peak strongly when this angle is smaller than ωs/2ϵ0. An experiment with appropriate parameters is proposed to verify the principal results of our theory. Further investigation will yield interesting information on the surface plasmon structure, e.g. the dispersion rule.
Solid State Communications | 1981
Pierre Longe; S.M. Bose
Abstract The strength of the first bulk plasmon satellite in the valence band photo-emission spectra of simple metals has been calculated for the dispersionless plasmon model. It is found that due to the mobility of the final state hole in the valence band, the strength of the plasmon satellite is lowered compared to that of the core state. This conclusion is qualitatively confirmed by an independent experiment of Van Attekum and Trooster.
Solid State Communications | 1996
S.M. Bose; Pierre Longe; M. Bawin
Recent discovery of metal encapsulated graphene tubules with radii of several nanometers has provided the possibility of observing the proper Aharonov-Bohm (AB) effect in bound states. A calculation is presented for the AB effect in a graphene tubule due to the introduction of a magnetized whisker completely inside the tubule such that the tubule itself experiences no magnetic field. The resulting AB current and AB magnetic flux in the graphene tubule should be detectable with the presently available experimental techniques.
Archive | 1981
S. M. Bose; D. Chastenet; Pierre Longe
In recent years, there have been extensive experimental and theoretical investigations of the core level photoemission spectra (XPS) of simple metals.1 However, no such systematic study of valence band XPS of metals has been carried out. In this paper we present a calculation of the strength of the first plasmon satellite of the valence band x-ray photoelectron spectra (XPS) of simple metals. We find that due to the mobility of the final state hole in the conduction band, the strength of the plasmon satellite is lowered from that of the core state photoemission; a conclusion which is in qualitative agreement with an independent experimental observation of Van Attekum and Trooster.
Physical Review B | 1993
Malozovsky Ym; Shyamalendu M. Bose; Pierre Longe; J. D. Fan
Physical Review B | 1981
Shyamalendu M. Bose; Patrick Kiehm; Pierre Longe
Physical Review B | 1973
Pierre Longe
Physical Review B | 1983
Shyamalendu M. Bose; Steven Prutzer; Pierre Longe