Abstract

The depth distribution of strain and composition in graded AlxGa1 − xN films and nanowires (NWs) are studied theoretically using the kinematical theory of X-ray diffraction. By calculating left(20overline{2}5right) reciprocal space maps (RSMs), we demonstrate significant differences in the intensity distributions from graded AlxGa1 − xN films and NWs. We attribute these differences to relaxation of the substrate-induced strain on the NWs free side walls. Finally, we demonstrate that the developed X-ray reciprocal space map model allows for reliable depth profiles of strain and Al composition determination in both AlxGa1 − xN films and NWs.

Highlights

  • The demonstration of p-type doping through the socalled polarization doping technique for AlxGa1 − xN alloys is finding more and more practical applications in modern optoelectronic devices

  • It is well known that epitaxial films of III-nitrides grow in columnar structures of relatively perfect material bounded by dislocation arrays

  • The fitting of an experimental asymmetrical reciprocal space maps (RSMs) will allow for the separation of strain, composition, and structural parameters in graded AlxGa1 − xN films and NWs

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Summary

Introduction

The demonstration of p-type doping through the socalled polarization doping technique for AlxGa1 − xN alloys is finding more and more practical applications in modern optoelectronic devices. Using compositionally graded AlxGa1 − xN films, polarization-induced p-n junctions and light emitting diodes (LEDs) have been successfully fabricated [1,2,3] This fundamentally new type of p-n junction allowing deep ultraviolet LEDs was shown for graded AlxGa1 − xN catalyst-free nanowires (NWs) without the use of impurity doping [4, 5]. Such doping enhancement occurs from grading the composition of AlxGa1 − xN alloys along the c-axis and grading the magnitude of the intrinsic polarization in the wurtzite crystal structure. These free charges become the free electrons and holes which make up a device structure

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