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Dielectric functions and electronic band structure of lead zirconate titanate thin films
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10.1063/1.2128043
/content/aip/journal/jap/98/9/10.1063/1.2128043
http://aip.metastore.ingenta.com/content/aip/journal/jap/98/9/10.1063/1.2128043

Figures

Image of FIG. 1.
FIG. 1.

X-ray data of the PZT, PLT, and doped PZT samples: PZT56 (a) as sputter grown and (b) annealed, and PZT82 (c) as sputter grown and (d) annealed. Others are grown by sol-gel method: (e) PZT20, (f) PNZT, (g) PLZT, and (h) PLT. Pv and Pr designate perovskite and pyrochlore phases, respectively.

Image of FIG. 2.
FIG. 2.

Pseudodielectric functions in the spectral range of : (a) , , 0.56, 0.82, and (b) PNZT, PLZT, and PLT. The three band-gap peaks are identified as , , and , respectively.

Image of FIG. 3.
FIG. 3.

(solid lines) measured at angle of incidence and their curve fits (dotted lines) using layer modeling for (, 0.56, 0.82), PNZT, PLZT, and PLT.

Image of FIG. 4.
FIG. 4.

Fitted dielectric function of the PZT layers in the spectral range of : (a) PZTs and (b) PNZT, PLZT, and PLT.

Image of FIG. 5.
FIG. 5.

Plot of the second derivative of dielectric functions and their fits in the NIR-VIS-UV spectral range. The fitted band-gap energies and are marked with arrows.

Image of FIG. 6.
FIG. 6.

Plot of the second derivative of dielectric functions and their fits in the DUV spectral range for PZT20, PNZT, PLZT, and PLT grown on platinized silicon. The fitted band-gap energy is marked with an arrow.

Image of FIG. 7.
FIG. 7.

Plot of band-gap energies for PZTs, PLT, and doped PZTs fitted (our own) and from literature. Filled symbols are from our data of spectroscopic elipsometry (SE), and other symbols are unfilled circle [Peng et al. (Ref. 6)], unfilled triangle [Yang et al. (Ref. 7)], unfilled rectangle [Zametin (Ref. 25)], and half-filled circle [Moret et al. (Ref. 8)].

Image of FIG. 8.
FIG. 8.

Calculated band structure of (a) and (b) . The energy zero is at the top of the valence band.

Image of FIG. 9.
FIG. 9.

Calculated band-gap energies of as a function of composition. The lines assume linear interpolation between the two end-point compounds, and .

Image of FIG. 10.
FIG. 10.

Calculated absorption spectra for and .

Tables

Generic image for table
Table I.

Thickness and volume fraction of void in surface roughness layer. The thickness of the main layer was determined by ellipsometry. AFM-measured roughness and the main x-ray peaks are listed with crystal phase (: perovskite, : pyrochlore), substrate, and growth method.

Generic image for table
Table II.

Band-gap energies estimated by POC and SCP models. The error bars are within 95% reliabilities.

Generic image for table
Table III.

Calculated optical transition-matrix element squared for several band-edge transitions in PTO and PZO.

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/content/aip/journal/jap/98/9/10.1063/1.2128043
2005-11-09
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Dielectric functions and electronic band structure of lead zirconate titanate thin films
http://aip.metastore.ingenta.com/content/aip/journal/jap/98/9/10.1063/1.2128043
10.1063/1.2128043
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