2005/11/22 by Orion Ciftja, M. Golam Faruk · 54 citations
Physics and Astronomy · #Condensed matter physics #Ground state #Magnetic field #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum dot #Quantum electrodynamics #Quantum mechanics #Semiconductor Quantum Structures and Devices #Wave function #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.72.205334
published in Physical Review B 72(20) (American Physical Society) · 12 pages, 4 figures, 4 tables
openalex publication_date 2005/11/22 · arxiv created 2007/08/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A trial wave function for two-dimensional quantum-dot helium in an arbitrary perpendicular magnetic field (a system of two interacting electrons in a two-dimensional parabolic confinement potential) is introduced. A key ingredient of this trial wave function is a Jastrow pair correlation factor that has a displaced Gaussian form. The above choice of the pair correlation factor is instrumental in assuring the overall quality of the wave function at all values of the magnetic field. Exact numerical diagonalization results are used to gauge the quality of the proposed trial wave function. We find out that this trial wave function is an excellent representation of the true ground state at all values of the magnetic field including weak (or zero) and strong magnetic fields.