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Main Authors: Hadjimichael, Yiannis, Brandt, Oliver, Merdon, Christian, Manganelli, Costanza, Farrell, Patricio
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2501.09175
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author Hadjimichael, Yiannis
Brandt, Oliver
Merdon, Christian
Manganelli, Costanza
Farrell, Patricio
author_facet Hadjimichael, Yiannis
Brandt, Oliver
Merdon, Christian
Manganelli, Costanza
Farrell, Patricio
contents We present a finite-strain model that is capable of describing the large deformations in bent nanowire heterostructures. The model incorporates a nonlinear strain formulation derived from the first Piola-Kirchhoff stress tensor, coupled with an energy functional that effectively captures the lattice-mismatch-induced strain field. We use the finite element method to solve the resulting partial differential equations and extract cross-sectional maps of the full strain tensor for both zincblende and wurtzite nanowires with lattice-mismatched core and one-sided stressor shell. In either case, we show that the bending is essentially exclusively determined by $\varepsilon_{zz}$. However, the distinct difference in shear strain has important consequences with regard to both the mechanical deformation and the existence of transverse piezoelectric fields in the nanowires.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09175
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Strain distribution in zincblende and wurtzite GaAs nanowires bent by a one-sided (In, Al)As stressor shell: consequences for torsion, chirality, and piezoelectricity
Hadjimichael, Yiannis
Brandt, Oliver
Merdon, Christian
Manganelli, Costanza
Farrell, Patricio
Mesoscale and Nanoscale Physics
Applied Physics
74B20, 62.23.Hj, 68.65.-k, 62.20.-x, 77.84.-s, 77.65.Ly
We present a finite-strain model that is capable of describing the large deformations in bent nanowire heterostructures. The model incorporates a nonlinear strain formulation derived from the first Piola-Kirchhoff stress tensor, coupled with an energy functional that effectively captures the lattice-mismatch-induced strain field. We use the finite element method to solve the resulting partial differential equations and extract cross-sectional maps of the full strain tensor for both zincblende and wurtzite nanowires with lattice-mismatched core and one-sided stressor shell. In either case, we show that the bending is essentially exclusively determined by $\varepsilon_{zz}$. However, the distinct difference in shear strain has important consequences with regard to both the mechanical deformation and the existence of transverse piezoelectric fields in the nanowires.
title Strain distribution in zincblende and wurtzite GaAs nanowires bent by a one-sided (In, Al)As stressor shell: consequences for torsion, chirality, and piezoelectricity
topic Mesoscale and Nanoscale Physics
Applied Physics
74B20, 62.23.Hj, 68.65.-k, 62.20.-x, 77.84.-s, 77.65.Ly
url https://arxiv.org/abs/2501.09175