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Accueil > Équipes scientifiques > Surfaces, Interfaces : Réactivité et Nanostructuration (SIREN) > Diffraction d’atomes rapides

Diffraction d’atomes rapides

Atomic diffraction at crystal surfaces

Philippe Roncin
PhD student : Peng PAN.
Collaborations : A.G. Borisov, F. Aguillon, A. Mayne.

Past ISMO Contributors : H. Khemliche, A. Momeni, A. Zugarramurdi
Past INSP Coll. : P. Atkinson, V. Etgens, M. Eddrief., F. Finocchi
PhDs : P. Rousseau 2006, P. Soulisse 2011, Y. Xiang 2012. M. Debiossac 2014.
Post-docs : N. Bundaleski, M. Mulier, B. Lalmi, P. Lunca-Popa, N. Kalashnyk.

Schematic representation of grazing incidence diffraction (GIFAD) discovered in the group by Patrick Rousseau. At grazing incidence, the fast He projectile with keV energy is diffracted by the well-ordered rows of atoms by successive gentle collisions. The He projectile is repelled by the surface electronic density so that GIFAD can be seen as a helium tip AFM operated in the reciprocal space.


Trends : After explorations of the limitations of GIFAD at ISMO and inside an MBE chamber at INSP. We now investigate the inelastic regime revealing thermal agitation and surface defects and we try to take benefit of the fast response to follow growth processes.

Highlights

Lamb-Dicke regime of recoilless emission.

Atomic diffraction spots have two component, one is point-like corresponding to elastic scattering, the other one, the inelastic component, is broader and consist here in here in vertical stripes pointing upward or downward. We derive a collisional model where the momentum exchange with each surface atom is modeled as a harmonic oscillator and we evaluate the probability for the collision to be associated with a vibrational excitation. We draw an analogy between the absence of energy exchange and the recoil-less emission probability (Lamb-Dicke) used for instance in optical lattices (insert). The line shape of the inelastic profiles are given by an analytic statistical treatment predicting the existence of a mixed regime between the quantum and classical regime. The energy loss is predicted to exhibit a θ7 dependence with the angle of incidence θ.

-M. Debiossac and P. Roncin " Elastic and inelastic diffraction of fast atoms, Debye-Waller factor and Mössbauer-Lamb-Dicke regime", Phys. Rev. B 96, 035415 (2017).
-P. Roncin, M. Debiossac, H. Oueslati, F. Raouafi. “Energy loss and inelastic diffraction of fast atoms at grazing incidence” NIM-B 427 100 (2018)

High resolution imaging of the β2(2×4) reconstructed GaAs(001) surface.

Scattering pattern of 400 eV helium atom diffracted from a GaAs surface at 600°C directly inside a molecular beam epitaxy chamber (MBE) at INSP (Paris). The high quality of the freshly grown surface has produced very rich diffraction images made of 100 spots perfectly located on the Laue circle of energy conservation. Combined with a "state of the art" theoretical calculation of the GaAs surface and a quantum scattering code the surface electronic density is produced. The lateral resolution is estimated below 0.1 Å and the vertical one is even better.

-M. Debiossac, A. Zugarramurdi, H. Khemliche, P. Roncin, A. G. Borisov, A. Momeni, P. Atkinson, M. Eddrief, and F. Finocchi and V. Etgens. " Combined experimental and theoretical study of fast atom diffraction on the β2(2×4) reconstructed GaAs(001) surface", Phys. Rev. B 90, 155308 (2014).
-Maxime Debiossac and Philippe Roncin, "Image processing for grazing incidence fast atom diffraction" NIM-B 382 36 (2016)

Exact quantum scattering and model calculations.

We have progressively learned how to interpret qualitatively our data. By assembling on a single image the elastic diffraction intensities recorded as a function of the angle of incidence we construct a "diffraction chart". To first order, it corresponds to a simple wavelength variation on a given grating. This provides a high redundancy as well as specific features such as the chain pattern depicted in white and appearing periodically on the data. It is well reproduced by exact theory and experiment and well understood by simple optical models with only few rays per lattice unit.

M. Debiossac, P. Atkinson, A. Zugarramurdi, M. Eddrief, F. Finocchi, V.H. Etgens, A. Momeni, H. Khemliche, A.G. Borisov, P. Roncin, " Fast atom diffraction inside an MBE chamber, a rich combination", Appl. Surf. Science. 391, 53 (2017)

GIFAD inside MBE during growth.

At INSP Paris, GIFAD was able to track, layer by layer the homo-epitaxial growth of GaAs by observing intensity oscillations similar to those obtained in RHEED. After a systematic analysis of the shape of the oscillation and their positions, P. Atkinson established that the oscillations are independent on the projectile energy, angle of incidence and observation direction. They are very robust and probably due to simple oscillations of the surface reflectivity, i.e. without any interference from sub-layer, as the atoms do not penetrate the topmost layer.

P. Atkinson, M. Eddrief, V. H. Etgens, H. Khemliche, M. Debiossac, A. Momeni, M. Mulier, B. Lalmi and P. Roncin, “Dynamic grazing incidence fast atom diffraction during molecular beam epitaxial growth of GaAs”, Appl. Phys. Lett. 105, 021602 (2014).

Twist and tilt around the surface.

GIFAD demonstrated to be extremely sensitive to the presence of mosaic domains. These are monocrystalline domains separated by dislocations probably induced by thermal shocks. They are tilted in-plane or out of plane (fig.) by less than 0.1 deg. easily resolved in GIFAD. Here the tilted domains produce difference Laue circles and the diffraction spots appear as short segments. The surface illuminated by the GIFAD beam is one the order of a mm2 (0.1mm*10mm).

article : B Lalmi, H Khemliche, A Momeni, P Soulisse and P Roncin, "High-resolution imaging of superficial mosaicity in single crystals using grazing incidence fast atom diffraction", J.Phys. Condens. Matter 24, 442002 (2012)

GIFAD in misaligned conditions.

We were not prepared to the crystallographic sensitivity of GIFAD that require accuracy around few/100 of deg. After quantum calculation where time reversal was used to connect different initial conditions. Following a paper by C. Henkel et al. on cold atom diffraction by a standing waves grating, M. Debiossac was able to derive a semi-empirical model forcing time reversal symmetry allowing, for simple systems, an analytic prediction (top right image) of the diffracted intensities in misaligned conditions.

-A. Zugarramurdi, M. Debiossac, P. Lunca-Popa, L. S. Alarcon, A. Momeni, H. Khemliche, P. Roncin, and A. G. Borisov, " Surface-grating deflection of fast atom beams ", Phys. Rev. A 88, 012904 (2013).
-Maxime Debiossac and Philippe Roncin. “Atomic diffraction under oblique incidence : An analytical expression” Phys. Rev. A. 90, 054701 (2014).

Moiré pattern of SiC grown graphene.

We have analyzed with GIFAD a graphene layer epitaxially grown on SiC (A. Mayne). The moiré pattern of the 13x13 superlattice is directly observed along the armchair direction with an estimated amplitude of 0.14 Å. The corrugation of the C-C backbone is only observed along the zigzag direction.

-M. Debiossac, A. Zugarramurdi, Z. Mu, P. Lunca-Popa, A. J. Mayne, and P. Roncin “Helium diffraction on SiC grown graphene : Qualitative and quantitative descriptions with the hard-corrugated-wall model”, Phys. Rev. B 94, 205403 (2016). -A. _ -Zugarramurdi, M. Debiossac, P. Lunca-Popa, A. J. Mayne, A. Momeni, A. G. Borisov, Z. Mu, P. Roncin, and H. Khemliche, " Determination of the geometric corrugation of graphene on SiC(0001) by grazing incidence fast atom diffraction", Appl. Phys. Lett. 106, 101902 (2015)

Bound state resonances at the surface.

Since 1933 (O. Stern, J.E. Lennard-Jones), bound state resonances at crystal surfaces are known to appear when the energy associated with a given diffraction order matches that of a bound state on the surface. The projectile can be trapped and released only when close to the turning point. These provide the most accurate determination of the weak van der Waals forces. However, observing few meV deep bound states with keV projectile was a tour de force. With help of theory (wave packet propagation in fig.), we understood that these resonances are extremely sensitive to surface coherence (distance between defects) on the micron scale. In GIFAD, the projectile velocity is so large that the distance spanned during vibration period is a fraction of a micron.

article : M. Debiossac, A. Zugarramurdi, P. Lunca-Popa, A. Momeni, H. Khemliche, A. G. Borisov, and P. Roncin, “Transient Quantum Trapping of Fast Atoms at Surfaces” Phys. Rev. Lett. 112, 023203 (2014).

Atom beam triangulation of molecular layer.

Molecular layers tend to have much less coherence length limiting the observation of clear diffraction patterns. To avoid remain blind we have derived a new technique where the fwhm of the structure less scattering profile (insert) is recorded as a function of the azimuthal angle φ. This simple azimuthal diagram shows pronounced peaks indicating, at this angle φ the presence of valleys. This is enough to reveal the directions where molecules start to align with each other even with limited coherence. Work is in progress to analyze the line shape more accurately for a possible link to surface properties.

article : Nataliya Kalashnyk, Hocine Khemliche and Philippe Roncin, “Atom beam triangulation of organic layers at 100 meV normal energy : self-assembled perylene on Ag(110) at room temperature” . Appl. Surf. Science. 364, 235 (2016).

Compact imaging detectors for diffraction and time of flight measurments.

Two different imaging detectors have been developed ; both rely on microchannel plates to convert an atom impact into an electron cascade. The one on top offers 70mm open surface on a CF100 flange and offer high resolution together with high repetition rate. It is used with one or two MCP to record diffraction pattern. The one below has 40mm active area on a CF63 flange and is a single particle detector with sub-ns resolution and 100µm resolution but count rates limited to few kHz. It is a well-suited for position resolved time of flight measurements. It has been designed for mass analysis of the compound at the surface.

article : -Sylvain Lupone, Pierre Soulisse and Philippe Roncin, “A large area high-resolution imaging detector for fast atom diffraction.” . NIM-B 427, 95 (2018).
-S. Lupone, S. Damoy, A. Husseen, N. Briand, M. Debiossac, S. Tall, P.Roncin “A large open ratio, time and position sensitive detector for time of flight measurements in UHV” Rev. Sci. Inst. 86, 126115 (2015).

Active control of the surface plane.

Dealing with incidence angle on the order of a degree is associated with technical difficulties. The sample transfer under UHV as well a the precise crystal positioning is usually performed within a degree. We have developed an automated servo control of the surface plane during azimuthal rotation in UHV to favor Atom beam triangulation measurement.

article : M. Sereno, S. Lupone, M. Debiossac, N. Kalashnyk, P. Roncin, “Active correction of the tilt angle of the surface plane with respect to the rotation axis during azimuthal scan” . NIM-B. 382, 123 (2016).

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