Coupled cluster theory for the ground and excited states of two dimensional quantum dots
arXiv:2111.06203 · doi:10.1103/PhysRevB.105.115111
Abstract
We present a study of the two dimensional circular quantum dot model Hamiltonian using a range of quantum chemical ab initio methods. Ground and excited state energies are computed on different levels of perturbation theories including the coupled cluster method. We outline a scheme to compute the required Coulomb integrals in real space and utilize a semi-analytic solution to the integral over the Coulomb kernel in the vicinity of the singularity. Furthermore, we show that the remaining basis set incompleteness error for two dimensional quantum dots scales with the inverse number of virtual orbitals, allowing us to extrapolate to the complete basis set limit energy. By varying the harmonic potential parameter we tune the correlation strength and investigate the predicted ground and excited state energies.
References in corpus (12)
- Full configuration interaction approach to the few-electron problem in artificial atoms
- Applying the Coupled-Cluster Ansatz to Solids and Surfaces in the Thermodynamic Limit
- One-step preparation of cluster states in quantum dot molecules
- Path-integral Monte Carlo simulations for interacting few-electron quantum dots with spin-orbit coupling
- A periodic equation-of-motion coupled-cluster implementation applied to -centers in alkaline earth oxides
- Cerium Oxides without : The Role of Many-Electron Correlation
- Ground-state of two-dimensional finite electron systems in the Quantum Hall regime
- Many-Body perturbation theory calculations on circular quantum dots
- First-principles study of the electronic structure of CdS/ZnSe coupled quantum dots
- Controlled Operations in a Strongly Correlated Two-Electron Quantum Ring
- Brueckner-Hartree-Fock study of circular quantum dots
- Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field