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Two-dimensional negative donors in magnetic fields

Mikhail V. Ivanov·Peter Schmelcher
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Abstract

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 γ=0.117 a.u. the donor possesses one bound state, for 0.117<γ<1.68 a.u. there exist two bound states and for field strengths γ>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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Mikhail V. Ivanov, Peter Schmelcher. 2002-02-18. Two-dimensional negative donors in magnetic fields. https://doi.org/10.1103/physrevb.65.205313

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