Polarization spontaneous and piezo: fundamentals and their implementation in ab initio calculations

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Hauptverfasser: Strak, Pawel, Kempisty, Pawel, Sakowski, Konrad, Piechota, Jacek, Grzegory, Izabella, Monroy, Eva, Kaminska, Agata, Krukowski, Stanislaw
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Veröffentlicht: 2024
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author Strak, Pawel
Kempisty, Pawel
Sakowski, Konrad
Piechota, Jacek
Grzegory, Izabella
Monroy, Eva
Kaminska, Agata
Krukowski, Stanislaw
author_facet Strak, Pawel
Kempisty, Pawel
Sakowski, Konrad
Piechota, Jacek
Grzegory, Izabella
Monroy, Eva
Kaminska, Agata
Krukowski, Stanislaw
contents Fundamental properties of spontaneous and piezo polarization are reformulated and critically reviewed. It was demonstrated that Landau definition of polarization as a dipole density could be used to the infinite systems. The difference between the bulk polarization and surface polarity are distinguished thus creating clear identification of both components. The local model of spontaneous polarization was created and used to calculate spontaneous polarization as the electric dipole density. It was shown that the proposed local model correctly predicts c-axis spontaneous polarization values of the nitride wurtzite semiconductors. It was also shown that the proposed model predicts zero polarization in the plane perpendicular to the c-axis, in accordance with symmetry requirements. In addition, the model results are in accordance with polarization equal to zero for zinc blende lattice. These data confirm the basic correctness of the proposed model. The spontaneous polarization values obtained for all wurtzite III nitrides (BN, AlN, GaN and InN) are in basic agreement with the earlier calculations using Berry phase and slab models of Bernardini et al. {Bernardini et al. Phys Rev B 56 (2001) R10024 & 63 (2001) 193201} but not with Dreyer et al. {Dreyer et al. Phys. Rev X 6 (2016) 021038}. Wurtzite nitride superlattices ab initio calculations were performed to derive polarization-induced fields in the coherently strained lattices showing good agreement with the polarization values. The strained superlattice data were used to determine the piezoelectric parameters of wurtzite nitrides obtaining the values that were in basic agreement with the earlier data. Zinc blende superlattices were also modeled using ab initio calculations showing results that are in agreement with the absence of polarization of all nitrides in zinc blende symmetry.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01134
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Polarization spontaneous and piezo: fundamentals and their implementation in ab initio calculations
Strak, Pawel
Kempisty, Pawel
Sakowski, Konrad
Piechota, Jacek
Grzegory, Izabella
Monroy, Eva
Kaminska, Agata
Krukowski, Stanislaw
Materials Science
Other Condensed Matter
Fundamental properties of spontaneous and piezo polarization are reformulated and critically reviewed. It was demonstrated that Landau definition of polarization as a dipole density could be used to the infinite systems. The difference between the bulk polarization and surface polarity are distinguished thus creating clear identification of both components. The local model of spontaneous polarization was created and used to calculate spontaneous polarization as the electric dipole density. It was shown that the proposed local model correctly predicts c-axis spontaneous polarization values of the nitride wurtzite semiconductors. It was also shown that the proposed model predicts zero polarization in the plane perpendicular to the c-axis, in accordance with symmetry requirements. In addition, the model results are in accordance with polarization equal to zero for zinc blende lattice. These data confirm the basic correctness of the proposed model. The spontaneous polarization values obtained for all wurtzite III nitrides (BN, AlN, GaN and InN) are in basic agreement with the earlier calculations using Berry phase and slab models of Bernardini et al. {Bernardini et al. Phys Rev B 56 (2001) R10024 & 63 (2001) 193201} but not with Dreyer et al. {Dreyer et al. Phys. Rev X 6 (2016) 021038}. Wurtzite nitride superlattices ab initio calculations were performed to derive polarization-induced fields in the coherently strained lattices showing good agreement with the polarization values. The strained superlattice data were used to determine the piezoelectric parameters of wurtzite nitrides obtaining the values that were in basic agreement with the earlier data. Zinc blende superlattices were also modeled using ab initio calculations showing results that are in agreement with the absence of polarization of all nitrides in zinc blende symmetry.
title Polarization spontaneous and piezo: fundamentals and their implementation in ab initio calculations
topic Materials Science
Other Condensed Matter
url https://arxiv.org/abs/2407.01134