Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-28T03:04:56.661Z Has data issue: false hasContentIssue false

Effect of Strain and Polarization Grading on Hole Transport across Tunneling Barriers between Metals and Wurtzite Indium Gallium Nitride

Published online by Cambridge University Press:  01 February 2011

Choudhury Jayant Praharaj*
Affiliation:
[email protected], Unaffiliated, Unaffiliated, 1901 Halford Avenue, Apt 74, Santa Clara, CA, 95051, United States
Get access

Abstract

We theoretically model the transport of holes across graded wurtzite Indium Gallium Nitride layers with large barriers to metals of the order of 2 electron volts. The effect of continuous strain grading and the resulting piezoelectric grading is explicitly taken into account. As data about critical thicknesses for dislocation creation are scarce for these materials, the grading widths considered for the calculations are deliberately kept small to ensure that the layers are below theoretically predicted critical thickness limits. The spatial variation of spontaneous and piezoelectric polarization creates bulk bound polarization charges that have a strong effect on the electrostatics of the layers, and creates the optimum conditions for efficient tunneling of holes. We also explicitly model the effect of the different hole masses for the valence band. Three orders of magnitude increase of tunneling intensity is seen for split-off holes with effective masses of 0.15 for the case of moderate grading from 30 % Indium to 0% Indium over 30 angstroms, compared to the case without grading. The case of very aggressive grading of the same change in composition over 10 angstroms does not lead to any extra benefits and leads to a decrease in tunneling intensity. The electric field for more aggressive grading dominates the electric field for the moderate grading both near the top and the bottom of the barrier. However, the effective barrier width at the valence band edge becomes higher for the case of aggressive grading, and most of the carriers see a damped tunneling amplitude.

Type
Research Article
Copyright
Copyright © Materials Research Society 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Ambacher, O. et al, Pyrolectric properties of Al(In)GaN/GaN hetero- and quantum well structures, Journal of Physics: Condensed Matter, vol 14, no 13, 339434 (2002)Google Scholar
2. Bernardini, F and Fiorentini, V, Nonlinear macroscopic polarization in III-V nitride alloys, Physical Review B (Condensed Matter and Materials Physics), vol 64, no.8, 085207 (2001)Google Scholar
3. Dimitrov, R., Murphy, M., Smart, J., Schaff, W., Shealy, J. R., Eastman, L. F., Ambacher, O., and Stutzmann, M., Two-dimensional electron gases in Ga-face and N-face AlGaN/GaN heterostructures grown by plasma-induced molecular beam epitaxy and metalorganic chemical vapor deposition on sapphire, J. Appl. Phys., vol 87, 3375 (2000)Google Scholar
4. Ambacher, O et al., Two dimensional electron gases induced by spontaneous and piezoelectric polarization in undoped and doped AlGaN/GaN heterostructures, J. Appl. Phys., vol 87, 334 (2000)Google Scholar
5. Lin, et al, Enhancement of Schottky barrier height on p-type GaN by (NH4)2Sx teatment Journal of Applied Physics, Vol 99. No 5, 053706 (2006)Google Scholar
6. Lin, Y, Application of the thermionic field emission model in the study of a Schottky barrier of Ni on p-GaN from current-voltage measurements, Appl Phys Lett, Vol 86, No 12,122109 (2005)Google Scholar
7. Rickert, et al, X-ray photoemission spectroscopic investigation of surface treatments, metal deposition and electron accumulation on InN, Appl Phys Lett, Vol 82, no 19, 32543256, 2003 Google Scholar
8. Jackson, J.D, Classical Electrodynamics, John Wiley and Sons (1999)Google Scholar
9. Kim, K et al, Effective masses and valence-band splittings in GaN and AlN, Physical Review B, Vol 56, no 12, 7363 (1997)Google Scholar
10. Yeo, Y.C, Chong, T.C and Li, M.F, Electronic band structures and effective-mass parameters of wurtzite GaN and InN, J. Appl. Phys., vol 83, no 3, 334 (1998)Google Scholar
11. Santic, B, On the hole effective mass and the free hole statistics in wurtzite GaN, Semiconductor Science and Technology., 18, part 4, 219224 (2003)Google Scholar
12. Pereira, S et al, Structural and optical properties of InGaN/GaN layers close to the critical layer thickness, Appl. Phys. Lett, Vol 81, no 7, 1207 (2002)Google Scholar