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Title: Strain effects and intermixing at the Si surface: Importance of long-range elastic corrections in first-principles calculations

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2];  [3];  [4]
  1. Univ. de Montreal, Quebec (Canada). Dept de Physique; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science and Technology Division
  2. Univ. of Grenoble Alpes, Grenoble (France)
  3. Univ. of Grenoble Alpes, Grenoble (France); Alternative Energies and Atomic Energy Commission (CEA) and Institute for Nanoscience and Cryogenics (INAC), Grenoble (France). Atomistic Simulation Lab
  4. Univ. Pierre and Marie Curie, Paris (France). Lab of Theoretical Condensed Matter Physics; Univ. de Montreal, Quebec (Canada). Dept de Physique

Here we investigate Ge mixing at the Si(001) surface and characterize the 2 N Si(001) reconstruction by means of hybrid quantum and molecular mechanics calculations (QM/MM). Avoiding fake elastic dampening, this scheme allows to correctly take into account long range deformation induced by reconstructed and defective surfaces. We focus in particular on the dimer vacancy line (DVL) and its interaction with Ge adatoms. We first show that calculated formation energies for these defects are highly dependent on the choice of chemical potential and that the latter must be chosen carefully. Characterizing the effect of the DVL on the deformation field, we also find that the DVL favors Ge segregation in the fourth layer close to the DVL. Using the activation-relaxation technique (ART nouveau) and QM/MM, we show that a complex diffusion path permits the substitution of the Ge atom in the fourth layer, with barriers compatible with mixing observed at intermediate temperature. We also show that the use of QM/MM results in much more signi cant corrections at the saddle points (up to 0.5 eV) that at minima, demonstrating its importance for describing kinetics correctly.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for Defect Physics in Structural Materials (CDP); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Natural Science and Engineering Research council of Canada
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1185571
Alternate ID(s):
OSTI ID: 1180370
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 90, Issue 15; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (53)

Diffusional Kinetics of SiGe Dimers on Si(100) Using Atom-Tracking Scanning Tunneling Microscopy journal October 2000
Tunable magnetic states in hexagonal boron nitride sheets journal September 2012
Unique Dynamic Appearance of a Ge-Si Ad-dimer on Si(001) journal December 2000
Energy landscape of small clusters of self-interstitial dumbbells in iron journal March 2011
Germanium diffusion mechanisms in silicon from first principles journal March 2007
Event-Based Relaxation of Continuous Disordered Systems journal November 1996
Reconstruction and intermixing in thin Ge layers on Si(001) journal August 2003
First-principles calculation of the effect of strain on the diffusion of Ge adatoms on Si and Ge(001) surfaces journal January 2003
Daubechies wavelets as a basis set for density functional pseudopotential calculations journal July 2008
Theoretical studies of enzymic reactions: Dielectric, electrostatic and steric stabilization of the carbonium ion in the reaction of lysozyme journal May 1976
Diffusion of Ge below the Si(100) Surface: Theory and Experiment journal March 2000
Dimer-vacancy defects on the Si(001)-2×1 and the Ni-contaminated Si(001)-2× n surfaces journal December 1995
Mixed SiGe ad-dimer on Si(001): diffusion triggers intermixing journal May 2002
Dimer vacancies and dimer-vacancy complexes on the Si(100) surface journal April 1993
Some improvements of the activation-relaxation technique method for finding transition pathways on potential energy surfaces journal March 2009
Auger electron diffraction study of the initial stage of Ge heteroepitaxy on Si(001) journal December 1994
Si/Ge nanostructures journal December 2001
Optimized energy landscape exploration using the ab initio based activation-relaxation technique journal July 2011
Large-scale ab initio study of the binding and diffusion of a Ge adatom on the Si(100) surface journal July 1994
Ge Diffusion at the Si(100) Surface journal March 2010
First stages of silicon oxidation with the activation relaxation technique journal August 2012
Critical layer thickness in Stranski–Krastanow growth of Ge on Si(001) journal August 2004
Strain effect on adatom binding and diffusion in homo- and heteroepitaxies of Si and Ge on ( 001 ) Surfaces journal October 2004
The Activation-Relaxation Technique: ART Nouveau and Kinetic ART journal January 2012
Ab Initio study of the mixed dimer formation in Ge growth on Si(100) journal September 1999
Computer simulation of local order in condensed phases of silicon journal April 1985
Advanced quantum dot configurations journal March 2009
Atomic structure and composition of the 2 × N reconstruction of the Ge wetting layer on Si(001) investigated by surface x-ray diffraction journal May 2011
Effect of Strain on Structure and Morphology of Ultrathin Ge Films on Si(001) journal June 1997
Tight binding studies of strained Ge/Si() growth journal March 2003
Distribution of Thermally Activated Plastic Events in a Flowing Glass journal June 2009
Charge-dependent migration pathways for the Ga vacancy in GaAs journal November 2006
Comparative study of Si(001) surface structure and interatomic potentials in finite-temperature simulations journal January 2003
Simulation of Ge/Si intermixing during heteroepitaxy journal May 2004
Strain-induced structure transformations on Si(111) and Ge(111) surfaces: A combined density-functional and scanning tunneling microscopy study journal June 2013
Finite-temperature phase diagram of vicinal Si(100) surfaces journal May 1990
First principles study of Ge∕Si exchange mechanisms at the Si(001) surface journal May 2008
Structural Relaxation Made Simple journal October 2006
Mixed Ge-Si Dimer Growth at the Ge/Si(001)-( 2 × 1 ) Surface journal September 1995
A first principles study of sub-monolayer Ge on Si() journal September 2002
Direct Observation of Intermixing at Ge / Si(001) Interfaces by High-Resolution Rutherford Backscattering Spectroscopy journal August 1999
Surface energetics and structure of the Ge wetting layer on Si(100) journal November 2004
Daubechies wavelets for high performance electronic structure calculations: The BigDFT project journal February 2011
Ordering of vacancies on Si(001) journal April 1997
Exploring the energy landscape of proteins: A characterization of the activation-relaxation technique journal December 2002
Ab initio study of the diffusion mechanisms of gallium in a silicon matrix journal July 2008
Dynamics of Lennard-Jones clusters: A characterization of the activation-relaxation technique journal December 2000
Si/Ge exchange mechanisms at the Ge(105) surface journal March 2010
Intermixing at Ge/Si interfaces studied by high-resolution RBS journal March 2000
Ge-Si intermixing at the Ge/Si(001) surface journal January 2000
Role of Surface Reconstructions in (111) Silicon Fracture journal October 2010
Numerical characterization of the Ga interstitial self-diffusion mechanisms in GaAs journal June 2008
Comparative study of dimer-vacancies and dimer-vacancy lines on Si() and Ge() journal May 2004

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