Effects of strain on the valence band structure and exciton-polariton energies in ZnO

Markus R. Wagner, Gordon Callsen, Juan S. Reparaz, Ronny Kirste, Axel Hoffmann, Anna V. Rodina, André Schleife, Friedhelm Bechstedt, and Matthew R. Phillips
Phys. Rev. B 88, 235210 – Published 30 December 2013

Abstract

The uniaxial stress dependence of the band structure and the exciton-polariton transitions in wurtzite ZnO is thoroughly studied using modern first-principles calculations based on the HSE+G0W0 approach, k·p modeling using the deformation potential framework, and polarized photoluminescence measurements. The ordering of the valence bands [A(Γ7), B(Γ9), C(Γ7)] is found to be robust even for high uniaxial and biaxial strains. Theoretical results for the uniaxial pressure coefficients and splitting rates of the A, B, and C valence bands and their optical transitions are obtained including the effects of the spin-orbit interaction. The excitonic deformation potentials are derived and the stress rates for hydrostatic pressure are determined based on the results for uniaxial and biaxial stress. In addition, the theory for the stress dependence of the exchange interaction and longitudinal-transversal splitting of the exciton polaritons is developed using the basic exciton functions of the quasicubic approximation and taking the interaction between all exciton states into account. It is shown that the consideration of these effects is crucial for an accurate description of the stress dependence of the optical spectra in ZnO. The theoretical results are compared to polarized photoluminescence measurements of different ZnO substrates as function of uniaxial pressure and experimental values reported in the literature demonstrating an excellent agreement with the computed pressure coefficients.

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  • Received 18 December 2012
  • Revised 2 December 2013

DOI:https://doi.org/10.1103/PhysRevB.88.235210

©2013 American Physical Society

Authors & Affiliations

Markus R. Wagner1,2,*, Gordon Callsen1, Juan S. Reparaz1,2, Ronny Kirste1,3, Axel Hoffmann1, Anna V. Rodina4, André Schleife5,6,7,†, Friedhelm Bechstedt6,7, and Matthew R. Phillips8

  • 1Institute of solid state physics, Technische Universität Berlin, 10623 Berlin, Germany
  • 2ICN2 - Institut Catala de Nanociencia i Nanotecnologia, Campus UAB, 08193 Bellaterra (Barcelona), Spain
  • 3Department of Material Science and Engineering, NCSU, Raleigh, North Carolina 27695, USA
  • 4A. F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia
  • 5Condensed Matter and Materials Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
  • 6Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität, 07743 Jena, Germany
  • 7European Theoretical Spectroscopy Facility (ETSF)
  • 8Department of Physics and Advanced Materials, University of Technology Sydney, NSW 2007, Australia

  • *markus.wagner@tu-berlin.de
  • a.schleife@llnl.gov

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Issue

Vol. 88, Iss. 23 — 15 December 2013

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