AI Summary & Key Takeaways
AI InsightUsing quantum-mechanical electron-phonon interaction model with a higher order vertex term in matsubara green function formalism at fınite temperature; the theory of the frequency of soft optic phonon, both temperature and reduced mass of the soft optic phonon dependency of the force constant corresponding to soft optic phonon related to the ferroelectric phase transition are discussed.
📌 3 Key Takeaways
Abstract
The isotope effect on the force constant corresponding to soft optic phonon in perovskite -type ferroelectrics is discussed theoretically. Using quantum-mechanical electron-phonon interaction model with a higher order vertex term in matsubara green function formalism at fınite temperature; the theory of the frequency of soft optic phonon, both temperature and reduced mass of the soft optic phonon dependency of the force constant corresponding to soft optic phonon related to the ferroelectric phase transition are discussed.
Özet
Perovskit yapıdaki farroelektrikde yumuşak optik fonona karşılık gelen ·kuvvet sabiti üzerine izotop etkisi teorik olarak incelenmiştir. Sonlu sıcaklıkta Matsubara green fonksiyonu formalizminde daha yüksek dereceli köşe (vertex) terimli kuvantum mekaniksel elektron-fonon etkileşme modeli kullanılarak: yumuşak optik fonon frekansının teorisi, ferroelektrik faz geçişiyle ilişkili olan enine optik fonona karşılık gelen kuvvet sabitinin hem sıcaklığa hemde enine optik kipin indirgenmiş kütlesine bağlılığı incelenmiştir.