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Semianalytical evaluation of linear and nonlinear piezoelectric potentials for quantum nanostructures with axial symmetry
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10.1063/1.2787894
/content/aip/journal/apl/91/12/10.1063/1.2787894
http://aip.metastore.ingenta.com/content/aip/journal/apl/91/12/10.1063/1.2787894
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) (a) Schematic view of a truncated cone QD with a WL. The reference for the axis and for the QD height is the bottom of the WL (indicated by an arrow). The chosen dimensions are for the cone height, for the WL thickness, and for the radius. The A, B, and C horizontal dotted lines correspond to the cross sections of the piezoelectric potential as displayed in Fig. 3 for , 5.4, and , respectively. (b) Linear piezoelectric potential for a conical QD without a WL. (c) Linear piezoelectric potential for a conical QD with a WL.

Image of FIG. 2.
FIG. 2.

(Color online) Comparison between the results obtained using various theoretical approaches for the same QD with a WL. The maximum piezoelectric potential values above the QD plane is calculated as a function of the truncation height : with a full 3D model (see Ref. 4), a full isotropic model, and a transverse isotropic model with and . The results of a systematic calculation without a WL are added for .

Image of FIG. 3.
FIG. 3.

(Color online) Plane projections of the piezoelectric potential for an InAs QD with a conical shape embedded in an InP matrix, taking into account only the linear effect. Cross sections correspond to (A), e.g., (a) and (b), (B), e.g., (c) and (d), and (C), e.g., (e) and (f), respectively (see Fig. 1). The pictures on the left hand side are obtained in this work for a QD without a WL, whereas the pictures on the right hand side are obtained for a QD with a WL by a full 3D calculation in our previous work (see Ref. 4).

Image of FIG. 4.
FIG. 4.

(Color online) Isosurfaces for values of the piezoelectric potential in a conic QD with a WL are illustrated in the linear case (a), the quadratic case (b), the sum of both contributions (c), and for the linear piezoelectric experimental constants (d).

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/content/aip/journal/apl/91/12/10.1063/1.2787894
2007-09-21
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Semianalytical evaluation of linear and nonlinear piezoelectric potentials for quantum nanostructures with axial symmetry
http://aip.metastore.ingenta.com/content/aip/journal/apl/91/12/10.1063/1.2787894
10.1063/1.2787894
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