Abstract
This work formulates the solutions to the elastic and piezoelectric fields around a quantum wire (QWR) with interface elasticity effect. Closed-form solutions to the piezoelectric potential field of zincblende QWR/matrix heterostructures grown along [111] crystallographic orientation are found and numerical results of InAs/InP heterostructures are provided as an example. The piezoelectric potential in the matrix depends on the interface elasticity, the radius and stiffness of the QWR. Our results indicate that interface elasticity can significantly alter the elastic and piezoelectric fields near the interface. Additionally, when the elastic property of the QWR is considered to be anisotropic in contrary to the common isotropic assumption, piezoelectric potentials are found to be distinct near the interface, but the deviations are negligible at positions far away from the interface.
Similar content being viewed by others
References
W.-Y. Chang, T.-H. Fang, C.-I. Weng, S.-S. Yang, Appl. Phys. A Mater. Sci. Process. 102, 705–711 (2011)
T.Y. Kwon, Y.B. Kim, K. Eom, D.S. Yoon, H.L. Lee, T.S. Kim, Appl. Phys. A Mater. Sci. Process. 88, 627–632 (2007)
L. Bouzaiene, S. Rekaya, H. Sghaier, L. Sfaxi, H. Maaref, Appl. Phys. A Mater. Sci. Process. 80, 295–299 (2005)
J.H. Davies, J. Appl. Phys. 84, 1358–1365 (1998)
J.R. Downes, D.A. Faux, E.P. O’Reilly, J. Appl. Phys. 81, 6700–6702 (1997)
E. Pan, J. Appl. Phys. 91, 6379–6387 (2002)
E. Pan, B. Yang, J. Appl. Phys. 93, 2435–2439 (2003)
E. Pan, F. Han, J.D. Albrecht, J. Appl. Phys. 98, 013534 (2005)
H.J. Chu, E. Pan, J.J. Ramsey, J. Wang, C.X. Xue, Int. J. Solids Struct. 48, 673–679 (2011)
B. Jogai, J. Appl. Phys. 90, 699–704 (2001)
Y.-M. Liu, Z.-Y. Yu, X.-M. Ren, Z.-H. Xu, Chin. Phys. B 17, 3471–3478 (2008)
F. Boxberg, N. Sondergaard, H.Q. Xu, Adv. Mater. 24, 4692–4706 (2012)
M.E. Gurtin, A.I. Murdoch, Arch. Ration. Mech. Anal. 57, 291–323 (1975)
M.E. Gurtin, J. Weissmuller, F. Larche, Philos. Mag. A 78, 1093–1109 (1998)
R.E. Miller, V.B. Shenoy, Nanotechnology, 11, 139 (2000)
P. Sharma, S. Ganti, Phys. Status Solidi B Basic Res. 234, R10–R12 (2002)
H.M. Shodja, H. Ahmadzadeh-Bakhshayesh, M.Y. Gutkin, Int. J. Solids Struct. 49, 759–770 (2012)
H. Ahmadzadeh-Bakhshayesh, M.Y. Gutkin, H.M. Shodja, Int. J. Solids Struct. 49, 1665–1675 (2012)
Y. Liu, W. Ye, E. Physica, Low Dimens. Syst. Nanostruct. 89, 5–9 (2017)
W. Ye, B. Chen, J. Cryst. Growth 410, 59–62 (2015)
W. Ye, A. Ougazzaden, M. Cherkaoui, Int. J. Solids Struct. 50, 4341–4348 (2013)
W. Ye, B. Paliwal, A. Ougazzaden, M. Cherkaoui, Philos. Mag. 93, 2497–2513 (2013)
T. Mura, Micromechanics of Defects in Solids, (Martinus Nijhoff Publishers, Dordrecht, 1987)
J. Qu, M. Cherkaoui, Fundamentals of Micromechanics of Solids, (Wiley, Hoboken, 2006)
R. Dingreville, J. Qu, Acta Mater. 55, 141–147 (2007)
R. Dingreville, J. Qu, J. Mech. Phys. Solids 56, 1944–1954 (2008)
R. Dingreville, J. Qu, Comput. Mater. Sci. 46, 83–91 (2009)
R. Dingreville, J.M. Qu, M. Cherkaoui, J. Mech. Phys. Solids 53, 1827–1854 (2005)
V.B. Shenoy, Phys. Rev. B 71, 094104–094111 (2005)
W. Ye, B. Chen, Mater. Lett. 141, 245–247 (2015)
A.F. Bower, Applied Mechanics of Solids, (CRC Press, Boca Raton, 2010)
J.N. Reddy, An Introduction to Continuum Mechanics, (Cambridge University Press, Cambridge, 2008)
P. Sharma, S. Ganti, J. Appl. Mech. 71, 663–671 (2004)
J. Xin, Y. Zheng, E. Shi, Appl. Phys. Lett. 91, 112902 (2007)
S.Q. Wang, H.Q. Ye, Phys. Status Solidi B Basic Res. 240, 45–54 (2003)
Acknowledgements
This work is supported by National Natural Science Foundation of China (No. 11702041). The authors also would like to thank the anonymous reviewers for the helpful comments to improve the quality of the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ye, W., Liu, Y. Elastic and piezoelectric fields around a quantum wire of zincblende heterostructures with interface elasticity effect. Appl. Phys. A 124, 285 (2018). https://doi.org/10.1007/s00339-018-1722-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00339-018-1722-2