2021
DOI: 10.1007/978-981-33-4619-2_13
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Development of Virtual Lattice Dynamics Method for Solving the Eigenvalue Problem of Three-Dimensional Elliptic Equation with a Multicenter Potential

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“…, r eh = (x e − x h ) 2 + (y e − y h ) 2 + z 2 eh is the electron-hole separation, and ε is the effective dielectric constant. To solve this equation, we implemented the virtual lattice method [29]. The results of solving Equation (A1) for m h = 5m e , B e = 1 eV, B h = B e + E g = 2 eV (E g is the band gap of the NW material) and various h-values as a function of D are presented in Figure 1.…”
Section: Discussionmentioning
confidence: 99%
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“…, r eh = (x e − x h ) 2 + (y e − y h ) 2 + z 2 eh is the electron-hole separation, and ε is the effective dielectric constant. To solve this equation, we implemented the virtual lattice method [29]. The results of solving Equation (A1) for m h = 5m e , B e = 1 eV, B h = B e + E g = 2 eV (E g is the band gap of the NW material) and various h-values as a function of D are presented in Figure 1.…”
Section: Discussionmentioning
confidence: 99%
“…The eigen values E i and eigen functions ψ(x, y, z) were determined using the virtual lattice method [29]. The four lowest eigen energy states of Equation (A2) were found to be localized in the hole-hosting (below referred to as 'right') NW because of the strong electron-hole attraction.…”
Section: Appendix A2 Electron Tunnelling Between the Nwsmentioning
confidence: 99%