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Selection rules in the excitation of the divacancy and the nitrogen-vacancy pair in 4H- and 6H-SiC

MetadataDetails
Publication Date2024-06-03
JournalPhysical review. B./Physical review. B
AuthorsDanial Shafizadeh, Joel Davidsson, Takeshi Ohshima, Igor A. Abrikosov, NguyĂȘn TiĂȘn SĂłn
InstitutionsLinköping University, Tohoku University
Citations11

In this study, we address selection rules with respect to the polarization of the optical excitation of two color centers in <a:math xmlns:a=“http://www.w3.org/1998/Math/MathML”&gt;&lt;a:mn&gt;4&lt;/a:mn&gt;&lt;a:mi&gt;H&lt;/a:mi&gt;&lt;a:mtext&gt;−&lt;/a:mtext&gt;&lt;a:mi&gt;SiC&lt;/a:mi&gt;&lt;/a:math> and <b:math xmlns:b=“http://www.w3.org/1998/Math/MathML”&gt;&lt;b:mn&gt;6&lt;/b:mn&gt;&lt;b:mi&gt;H&lt;/b:mi&gt;&lt;b:mtext&gt;−&lt;/b:mtext&gt;&lt;b:mi&gt;SiC&lt;/b:mi&gt;&lt;/b:math> with potential for applications in quantum technology, the divacancy and the nitrogen-vacancy pair. We show that the photoluminescence of the axial configurations of higher symmetry <c:math xmlns:c=“http://www.w3.org/1998/Math/MathML”&gt;&lt;c:mo&gt;(&lt;/c:mo&gt;&lt;c:msub&gt;&lt;c:mi&gt;C&lt;/c:mi&gt;&lt;c:mrow&gt;&lt;c:mn&gt;3&lt;/c:mn&gt;&lt;c:mi&gt;v&lt;/c:mi&gt;&lt;/c:mrow&gt;&lt;/c:msub&gt;&lt;c:mo&gt;)&lt;/c:mo&gt;&lt;/c:math> than the basal ones <d:math xmlns:d=“http://www.w3.org/1998/Math/MathML”&gt;&lt;d:mo&gt;(&lt;/d:mo&gt;&lt;d:msub&gt;&lt;d:mi&gt;C&lt;/d:mi&gt;&lt;d:mrow&gt;&lt;d:mn&gt;1&lt;/d:mn&gt;&lt;d:mi&gt;h&lt;/d:mi&gt;&lt;/d:mrow&gt;&lt;/d:msub&gt;&lt;d:mo&gt;)&lt;/d:mo&gt;&lt;/d:math> can be canceled using any excitation (resonant or nonresonant) with polarization parallel to the crystal axis <e:math xmlns:e=“http://www.w3.org/1998/Math/MathML”&gt;&lt;e:mrow&gt;&lt;e:mo&gt;(&lt;/e:mo&gt;&lt;e:msub&gt;&lt;e:mi&gt;E&lt;/e:mi&gt;&lt;e:mi&gt;L&lt;/e:mi&gt;&lt;/e:msub&gt;&lt;e:mrow&gt;&lt;e:mo&gt;|&lt;/e:mo&gt;&lt;e:mo&gt;|&lt;/e:mo&gt;&lt;/e:mrow&gt;&lt;e:mi&gt;c&lt;/e:mi&gt;&lt;e:mo&gt;)&lt;/e:mo&gt;&lt;/e:mrow&gt;&lt;/e:math>. The polarization selection rules are determined using group-theoretical analysis and simple physical arguments showing that phonon-assisted absorption with <f:math xmlns:f=“http://www.w3.org/1998/Math/MathML”&gt;&lt;f:mrow&gt;&lt;f:msub&gt;&lt;f:mi&gt;E&lt;/f:mi&gt;&lt;f:mi&gt;L&lt;/f:mi&gt;&lt;/f:msub&gt;&lt;f:mrow&gt;&lt;f:mo&gt;|&lt;/f:mo&gt;&lt;f:mo&gt;|&lt;/f:mo&gt;&lt;/f:mrow&gt;&lt;f:mi&gt;c&lt;/f:mi&gt;&lt;/f:mrow&gt;&lt;/f:math> is prohibited despite being formally allowed by group theory. A comparison with the selection rules for the silicon vacancy, another defect with <g:math xmlns:g=“http://www.w3.org/1998/Math/MathML”&gt;&lt;g:msub&gt;&lt;g:mi&gt;C&lt;/g:mi&gt;&lt;g:mrow&gt;&lt;g:mn&gt;3&lt;/g:mn&gt;&lt;g:mi&gt;v&lt;/g:mi&gt;&lt;/g:mrow&gt;&lt;/g:msub&gt;&lt;/g:math> symmetry, is also carried out. Using the selection rules, we demonstrate selective excitation of only one basal divacancy configuration in <h:math xmlns:h=“http://www.w3.org/1998/Math/MathML”&gt;&lt;h:mn&gt;4&lt;/h:mn&gt;&lt;h:mi&gt;H&lt;/h:mi&gt;&lt;h:mtext&gt;−&lt;/h:mtext&gt;&lt;h:mi&gt;SiC&lt;/h:mi&gt;&lt;/h:math>, the PL3 line, and discuss the higher contrast and increased Debye-Waller factor in the selectively excited spectrum. Published by the American Physical Society 2024