Skip to main content

Composition and Strain Dependence of the Piezoelectric Coefficients in Semiconductor Alloys

  • T. Hammerschmidt (a1), M. A. Migliorato (a2), D. Powell (a3), A. G. Cullis (a4) and G. P. Srivastava (a5)...

We propose a tight-binding model for the polarization that considers direct and dipole contributions and employs microscopic quantities that can be calculated by first-principles methods, e.g. by employing Density Functional Theory (DFT). Applying our model to InxGa1-xAs alloys allows us to settle discrepancies between the values of e14 as obtained from experiments and from linear interpolations between the values of InAs and GaAs. Our calculated piezoelectric coefficient is in very good agreement with photo current measurements of InAs/GaAs(111) quantum well samples.

Hide All
1.Migliorato, M.A., Powell, D., Zibik, E.A., Wilson, L.R., Fearn, M., Jefferson, J.H., Steer, M.J., Hopkinson, M. and Cullis, A.G., Physica E 26, 436 (2005)
2.Migliorato, M. A., Powell, D., Liew, S. L., Cullis, A. G., Fearn, M., Jefferson, J. H., Navaretti, P., Steer, M. J., Hopkinson, M., J. Appl. Phys. 96, 5169 (2004)
3.Bester, G and Zunger, A, Phys Rev B 71, 045318 (2005)
4.Grundmann, M., Stier, O. and Bimberg, D., Phys Rev B 52, 11 969 (1995)
5.Davies, J. H., J Appl Phys 84, 1358 (1998)
6.Stier, O., Grundmann, M. and Bimberg, D., Phys Rev B 59, 5688 (1999)
7.Cady, W.G., Piezolectricity (McGraw-Hill, New York, 1946)
8.Martin, R.M., Phys Rev B 5, 1607 (1972)
9.Bester, G, Wu, X, Vanderbilt, D and Zunger, A, Phys Rev Lett 96, 187602 (2006)
10.Adachi, , Physical Properties of III-V SemiconductorCompounds (1992)
11.e.g. see Singh, J. - Physics of Semic. and their Heterostructures-Mc Graw Hill (1993)
12.Migliorato, M.A., Powell, D., Cullis, A.G., Hammerschmidt, T., and Srivastava, G.P., Phys. Rev. B 74, 245332 (2006)
13.Hogg, R.A., Fisher, T.A., A.Willcox, R.K., Whittaker, D.M., Skolnick, M.S., Mowbray, D.J., J.P.R. David, Pabla, A.S., Rees, G.J., Grey, R., Woodhead, J., J.L. Sanchez-Rojas, Hill, G., Pate, M.A. and Robson, P.N., Phys. Rev. B 48, 8491 (1993)
14.Sanchez-Rojas, J.L., Sacedón, A., Gonzáles-Sanz, F., Calleja, E. and Muñoz, E., Appl. Phys. Lett. 65, 2042 (1994)
15.Chan, C.H., Lin, H.H., Chen, Y.F., and Jan, G.J., Appl. Phys. Lett. 72, 1208 (1998)
16.Bahder, T.B., Tober, R.L. and Bruno, J.D., Superlatt. Microstruct. 14, 149 (1993)
17.Cho, S., Kim, J., Sanz-Herv́s, A., Majerfeld, A., Patriarche, G. and Kim, B.W., phys. stat. sol. (a) 195, 260 (2003); S. Cho, A. Majerfeld, A. Sanz-Hervás, J.J. Sánchez, J.L. Sanchez-Rojas and I. Izpura, J. Appl. Phys 90, 915 (2001); S. Cho, A. Sanz-Hervás, J. Kim, A. Majerfeld and B.W. Kim, J. Appl. Phys 96, 1909 (2004)
18.Dehaese, O., Wallart, X., and Mollot, F., Appl Phys Lett 66, 52 (1995)
19.Ballet, P., Disseix, P., Leymarie, J., Vasson, A., Vasson, A.-M., Grey, R., Phys. Rev. B 59, R5308 (1999)
20.Wilson, L.R., Ph.D Thesis, Optical Spectroscopic Study of III-V Semiconductor Quantum Well and Quantum Dot Structures, Department of Physics, University of Sheffield, 1997
21.Moran, M., Meidia, H., Fleishmann, T., Norris, D.J., Rees, G. J., Cullis, A.G. and Hopkinson, M., J. Phys. D 34, 1943 (2001)
22.Harrison, W.A., “Electronic structure and properties of solids”, Dover Pub., Inc., New York (1989)
23.Kleinman, L., Phys. Rev. 128, 199 (1962)
24.for Z* the subscript H indicates that for this quantity we follow Harrison's definition [15], not to be confused with the commonly used quantity Z*, the effective charge, which is instead equivalent to Harrison's e*T
25.Troullier, N. and Martins, J. L., Phys. Rev. B 43, 1993 (1991)
26.Perdew, J. P. and Zunger, A., Phys. Rev. B 23, 5048 (1981)
27.Monkhorst, H. J. and Pack, J. D., Phys. Rev. B 13, 5189 (1976)
28.Wang, S.Q. and Ye, H.Q., phys. stat. sol. (b) 240, 45 (2003)
29.Wang, S.Q. and Ye, H.Q., J. Phys. Condens. Matter 17, 4475 (2005)
30.For these calculations we used the SFHIngX code that allows to enter the strain tensor explicitly: Boeck, S., Alsharif, A., Dick, A., Ismer, L., Qteish, A., and Neugebauer, J.,
31.Shen, San-Guo, J. Phys. Condens. Matter 6, 8733 (1994)
32.Falter, C., Ludwig, W., Selmke, M. and Zieran, W, Phys. Lett 105, 139 (1984)
33.Bouarissa, N, Phys Lett A 245, 285 (1998)
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

MRS Online Proceedings Library (OPL)
  • ISSN: -
  • EISSN: 1946-4274
  • URL: /core/journals/mrs-online-proceedings-library-archive
Please enter your name
Please enter a valid email address
Who would you like to send this to? *



Full text views

Total number of HTML views: 0
Total number of PDF views: 2 *
Loading metrics...

Abstract views

Total abstract views: 50 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 24th September 2018. This data will be updated every 24 hours.