Due to their unique boundary conditions, nanowire heterostructures may exhibit defect-free interfaces even for systems with large lattice mismatch. Heteroepitaxial material integration is limited by lattice mismatches in planar systems, but we use a variational approach to show that nanowire heterostructures are more effective at relieving mismatch strain coherently. This is an equilibrium model based on the Matthews critical thickness in which the lattice mismatch strain is shared by the nanowire overlayer and underlayer, and could as well be partially accomodated by the introduction of a pair of misfit dislocations. The model is highly portable to other nanowire material systems and can be used to estimate critical feature sizes. We find that the critical radius of this system is roughly an order of magnitude larger than the critical thickness of the corresponding thin film/substrate material system. Finite element analysis is used to assess some aspects of the model; in particular, to show that the variational approach describes well the decay of the strain energy density away from the interface.
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1 June 2005
Research Article|
June 07 2005
Equilibrium limits of coherency in strained nanowire heterostructures
Elif Ertekin;
Elif Ertekin
a)
Department of Materials Science and Engineering, 210 Hearst Memorial Mining Building,
University of California
, Berkeley, California 94720-1760 and Materials Sciences Division, 1 Cyclotron Road, M.S. 66, Lawrence Berkeley National Laboratory
, Berkeley, California
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P. A. Greaney;
P. A. Greaney
Department of Materials Science and Engineering, 210 Hearst Memorial Mining Building,
University of California
, Berkeley, California 94720-1760 and Materials Sciences Division, 1 Cyclotron Road, M.S. 66, Lawrence Berkeley National Laboratory
, Berkeley, California
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D. C. Chrzan;
D. C. Chrzan
Department of Materials Science and Engineering, 210 Hearst Memorial Mining Building,
University of California
, Berkeley, California 94720-1760 and Materials Sciences Division, 1 Cyclotron Road, M.S. 66, Lawrence Berkeley National Laboratory
, Berkeley, California
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Timothy D. Sands
Timothy D. Sands
b)
School of Materials Engineering, School of Electrical and Computer Engineering, and Birck Nanotechnology Center, 501 Northwestern Avenue,
Purdue University
, West Lafayette, Indiana 47907-2044
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a)
Electronic mail: [email protected]
b)
Electronic mail: [email protected]
J. Appl. Phys. 97, 114325 (2005)
Article history
Received:
December 10 2004
Accepted:
March 14 2005
Citation
Elif Ertekin, P. A. Greaney, D. C. Chrzan, Timothy D. Sands; Equilibrium limits of coherency in strained nanowire heterostructures. J. Appl. Phys. 1 June 2005; 97 (11): 114325. https://doi.org/10.1063/1.1903106
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