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Title: de Gennes Narrowing and Relationship between Structure and Dynamics in Self-Organized Ion-Beam Nanopatterning

Abstract

Investigating the relationship between structure and dynamical processes is a central goal in condensed matter physics. Perhaps the most noted relationship between the two is the phenomenon of de Gennes narrowing, in which relaxation times in liquids are proportional to the scattering structure factor. Here, a similar relationship is discovered during the self-organized ion-beam nanopatterning of silicon using coherent x-ray scattering. However, in contrast to the exponential relaxation of fluctuations in classic de Gennes narrowing, the dynamic surface exhibits a wide range of behaviors as a function of the length scale, with a compressed exponential relaxation at lengths corresponding to the dominant structural motif—self-organized nanoscale ripples. These behaviors are reproduced in simulations of a nonlinear model describing the surface evolution. Our team suggests that the compressed exponential behavior observed here is due to the morphological persistence of the self-organized surface ripple patterns which form and evolve during ion-beam nanopatterning.

Authors:
ORCiD logo [1];  [1];  [2];  [2];  [2]; ORCiD logo [3];  [3]
  1. Boston Univ., MA (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Univ. of Vermont, Burlington, VT (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1760636
Report Number(s):
BNL-220790-2021-JAAM
Journal ID: ISSN 0031-9007; TRN: US2206037
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 126; Journal Issue: 1; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Irradiation effects; Surface & interfacial phenomena; Surface instabilities; Elemental semiconductors; Nanostructures; X-ray photon correlation spectroscopy

Citation Formats

Myint, Peco, Ludwig, Karl F., Wiegart, Lutz, Zhang, Yugang, Fluerasu, Andrei, Zhang, Xiaozhi, and Headrick, Randall L. de Gennes Narrowing and Relationship between Structure and Dynamics in Self-Organized Ion-Beam Nanopatterning. United States: N. p., 2021. Web. doi:10.1103/physrevlett.126.016101.
Myint, Peco, Ludwig, Karl F., Wiegart, Lutz, Zhang, Yugang, Fluerasu, Andrei, Zhang, Xiaozhi, & Headrick, Randall L. de Gennes Narrowing and Relationship between Structure and Dynamics in Self-Organized Ion-Beam Nanopatterning. United States. https://doi.org/10.1103/physrevlett.126.016101
Myint, Peco, Ludwig, Karl F., Wiegart, Lutz, Zhang, Yugang, Fluerasu, Andrei, Zhang, Xiaozhi, and Headrick, Randall L. Thu . "de Gennes Narrowing and Relationship between Structure and Dynamics in Self-Organized Ion-Beam Nanopatterning". United States. https://doi.org/10.1103/physrevlett.126.016101. https://www.osti.gov/servlets/purl/1760636.
@article{osti_1760636,
title = {de Gennes Narrowing and Relationship between Structure and Dynamics in Self-Organized Ion-Beam Nanopatterning},
author = {Myint, Peco and Ludwig, Karl F. and Wiegart, Lutz and Zhang, Yugang and Fluerasu, Andrei and Zhang, Xiaozhi and Headrick, Randall L.},
abstractNote = {Investigating the relationship between structure and dynamical processes is a central goal in condensed matter physics. Perhaps the most noted relationship between the two is the phenomenon of de Gennes narrowing, in which relaxation times in liquids are proportional to the scattering structure factor. Here, a similar relationship is discovered during the self-organized ion-beam nanopatterning of silicon using coherent x-ray scattering. However, in contrast to the exponential relaxation of fluctuations in classic de Gennes narrowing, the dynamic surface exhibits a wide range of behaviors as a function of the length scale, with a compressed exponential relaxation at lengths corresponding to the dominant structural motif—self-organized nanoscale ripples. These behaviors are reproduced in simulations of a nonlinear model describing the surface evolution. Our team suggests that the compressed exponential behavior observed here is due to the morphological persistence of the self-organized surface ripple patterns which form and evolve during ion-beam nanopatterning.},
doi = {10.1103/physrevlett.126.016101},
journal = {Physical Review Letters},
number = 1,
volume = 126,
place = {United States},
year = {Thu Jan 07 00:00:00 EST 2021},
month = {Thu Jan 07 00:00:00 EST 2021}
}

Works referenced in this record:

Distinguishing physical mechanisms using GISAXS experiments and linear theory: the importance of high wavenumbers
journal, May 2017


Emergence and detailed structure of terraced surfaces produced by oblique-incidence ion sputtering
journal, September 2017


Temperature and fluence effects on the evolution of regular surface morphologies on ion-sputtered Si(111)
journal, August 2005


Nanoscale kinetics and dynamics during Ar + patterning of SiO 2
journal, April 2019


Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
journal, January 1970

  • Williams, Graham; Watts, David C.
  • Transactions of the Faraday Society, Vol. 66
  • DOI: 10.1039/tf9706600080

Kinetic evolution of unmixing in an AlLi alloy using x-ray intensity fluctuation spectroscopy
journal, February 2001


Slow dynamics in glassy soft matter
journal, January 2005


Evolution of speckle during spinodal decomposition
journal, November 1999


Nanopatterning of silicon surfaces by low-energy ion-beam sputtering: dependence on the angle of ion incidence
journal, May 2002


Transient Topographies of Ion Patterned Si(111)
journal, July 2005


Ageing dynamics of ion bombardment induced self-organization processes
journal, May 2013

  • Bikondoa, Oier; Carbone, Dina; Chamard, Virginie
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep01850

Evolution of ion beam induced patterns on Si(001)
journal, June 2014


Theory of terraced topographies produced by oblique-incidence ion bombardment of solid surfaces
journal, December 2014


Atomic-Scale Relaxation Dynamics and Aging in a Metallic Glass Probed by X-Ray Photon Correlation Spectroscopy
journal, October 2012


Simulations of Co-GISAXS during kinetic roughening of growth surfaces
journal, October 2017


Hydrodynamic approach to surface pattern formation by ion beams
journal, February 2012


Stress-induced patterns in ion-irradiated silicon: Model based on anisotropic plastic flow
journal, December 2012


Liquid dynamics and inelastic scattering of neutrons
journal, January 1959


X-ray and neutron scattering from rough surfaces
journal, August 1988


On the use of two-time correlation functions for X-ray photon correlation spectroscopy data analysis
journal, February 2017


Speckle from phase-ordering systems
journal, December 1997


Sawtooth structure formation under nonlinear-regime ion bombardment
journal, June 2018

  • Perkinson, Joy C.; Swenson, Jennifer M.; DeMasi, Alexander
  • Journal of Physics: Condensed Matter, Vol. 30, Issue 29
  • DOI: 10.1088/1361-648X/aac460

Si(100) surface morphology evolution during normal-incidence sputtering with 100–500 eV Ar+ ions
journal, October 2002

  • Ludwig, F.; Eddy, C. R.; Malis, O.
  • Applied Physics Letters, Vol. 81, Issue 15
  • DOI: 10.1063/1.1513655

Numerical evidence for stretched exponential relaxations in the Kardar-Parisi-Zhang equation
journal, May 2004


Stress vs sputtering effects in the propagation of surface ripples produced by ion-beam sputtering
journal, December 2015

  • Moreno-Barrado, A.; Castro, M.; Muñoz-García, J.
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 365
  • DOI: 10.1016/j.nimb.2015.07.032

X-ray intensity fluctuation spectroscopy studies of ordering kinetics in a Cu-Pd alloy
journal, October 2005


A review of X-ray intensity fluctuation spectroscopy
journal, June 2008


Hard X-Ray Photon Correlation Spectroscopy Methods for Materials Studies
journal, July 2018


Transition from ripples to faceted structures under low-energy argon ion bombardment of silicon: understanding the role of shadowing and sputtering
journal, January 2013

  • Basu, Tanmoy; Datta, Debi; Som, Tapobrata
  • Nanoscale Research Letters, Vol. 8, Issue 1
  • DOI: 10.1186/1556-276X-8-289

Dynamic Scaling of Growing Interfaces
journal, March 1986


X-Ray Intensity Fluctuation Spectroscopy Studies on Phase-Ordering Systems
journal, February 2005