VARIATIONAL COMPUTATIONS FOR EXCITONS IN QUANTUM DOTS: A QUANTUM MONTE CARLO STUDY

Yildiz A., Sakiroglu S., DOĞAN Ü., AKGÜNGÖR K., Epik H., Sokmen I., ...Daha Fazla

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.25, sa.1, ss.119-130, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1142/s0217979211055683
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.119-130
  • Anahtar Kelimeler: Exciton, parabolic confinement, variational Monte Carlo method, Monte Carlo diagonalization method, WAVE-FUNCTION, INTERACTING ELECTRONS, GROUND-STATE, SIMULATION, ENERGY, FIELD
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

A study of variational wave functions for calculation of the ground-state energies of excitons confined in a two-dimensional (2D) disc-like and three-dimensional (3D) spherical parabolic GaAs quantum dots (QDs) is presented. We have used four variational trial wave functions constructed as the harmonic-oscillator basis multiplied by different correlation functions. The proposed correlation function formed by including linear expansion in terms of Hylleraas-like coordinates to the Jastrow factor is able to capture nearly exactly the ground-state energies of 31) excitons, and it properly account for the results of 2D excitons. Quantum Monte Carlo techniques combined with the proposed wave function are a powerful tool for studying excitons in parabolic QDs.