Journal of the Korean Vacuum Society (한국진공학회지)

The Korean Vacuum Society (한국진공학회)
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Investigation of the Hyperfine Structure Effect in a Mn-Doped LiNbO3

Mn이 첨가된 LiNbO3의 초 미세구조 효과 연구

  • Lee, Haeng-Ki (Department of Radiotechnology, Suseong College) ;
  • Jang, Hyon-Chol (Department of Radiotechnology, Suseong College) ;
  • Park, Jung-Il (Nano-Physics and Technology Laboratory, Department of Physics, Kyungpook National University)
  • 이행기 (수성대학교 방사선과) ;
  • 장현철 (수성대학교 방사선과) ;
  • 박정일 (경북대학교 물리학과 나노물리연구실)
  • Received : 2012.04.11
  • Accepted : 2012.05.22
  • Published : 2012.05.31
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Abstract

The computer program (EPR-NMR program version 6.2) employed here sets up the spin Hamiltonian matrices and determines their eigenvalues using exact diagonalization. We study the electron spin resonance for $Mn^{2+}$ in ferroelectric $LiNbO_3$ single crystals. The self-energy is obtained using the projection operator method developed by Argyres and Sigel. The self-energy is calculated to be axially symmetric about the by the spin Hamiltonian. The line-widths decreased as the temperature increased; we assume that the hyperfine structure transition is a more dominant scattering than the other transitions. We conclude that the calculation process presented in this study is useful for quantum optical transitions.

본 연구에서는 Mn을 첨가시킨 $LiNbO_3$ 단 결정을 기술하는 스핀 해밀토니언으로 계의 고유치를 구하고, 이를 이용하여 자기 감수성을 온도 의존성으로 조사하였다. 선형응답이론에 기초한 Argyres-Sigel의 투영연산자 방법을 이용하여 계의 자체 에너지함수를 유효한 항까지 계산하였다. 초 미세구조 효과를 고려한 온도 의존성의 역 자기 감수성은 온도의 증가에 따라 그 효과가 더욱 크게 나타나는 것으로 조사되었다. 자체에너지 함수의 실수 부분인 선 너비는 온도의 증가에 따라 감소하는데 이는 온도의 증가로 인해 $Nb^{5+}$와 $Li^+$ 이온들이 산소 층과 다른 인접한 산소 층 쪽으로 이동하기 때문인 것으로 보인다.

Keywords

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