Two-dimensional negative donors in magnetic fields

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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7 pages, 1 figure

Scientific paper

10.1103/PhysRevB.65.205313

A finite-difference solution of the Schroedinger equation for negative donor centers D^- in two dimensions is presented. Our approach is of exact nature and allows us to resolve a discrepancy in the literature on the ground state of a negative donor. Detailed calculations of the energies for a number of states show that for field strengths less than \gamma=0.117 a.u. the donor possesses one bound state, for 0.117<\gamma<1.68 a.u. there exist two bound states and for field strengths \gamma>1.68 a.u. the system possesses three bound states. Further relevant characteristics of negative donors in magnetic fields are provided.

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