Symmetry-adapted calculations of strain and polarization fields in (111)-oriented zinc-blende quantum dots

S. Schulz*, M. A. Caro, E. P. O'Reilly, O. Marquardt

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

53 Citations (Scopus)


We present expressions for the elastic and first-order piezoelectric tensor in (111)-oriented III-V zinc-blende semiconductors. Moreover, an equation for the second-order piezoelectric polarization vector in these systems is derived. Together these expressions provide an efficient route to calculate built-in potentials and strain fields in (111)-oriented zinc-blende nanostructures. Our detailed analysis provides insight into the key parameters that modify strain and built-in fields in a (111)-oriented zinc-blende system compared to a conventional (001) structure. We show that the calculated strain field in a (111)-oriented quantum dot displays the correct C3v symmetry of the underlying crystal structure, even though we use a continuum-based approach and the quantum dot geometry is higher in symmetry than C3v, e.g., C v. This behavior originates from an in-plane angle dependence of certain elastic tensor components in the (111)-zinc-blende system. In addition, we compare the elastic and the first-order piezoelectric tensor of the (111)-zinc-blende systems with the corresponding quantities in a wurtzite structure and point out similarities and differences. This comparison provides, for example, insight into the sign of the shear piezoelectric coefficient e 15 in the wurtzite system, which is still under debate in the literature. Our analysis indicates e15<0, in accordance with recent experimental and theoretical results.

Original languageEnglish
Article number125312
Pages (from-to)1-14
JournalPhysical Review B
Issue number12
Publication statusPublished - 13 Sept 2011
MoE publication typeA1 Journal article-refereed


Dive into the research topics of 'Symmetry-adapted calculations of strain and polarization fields in (111)-oriented zinc-blende quantum dots'. Together they form a unique fingerprint.

Cite this