Journal ArticleDOI
Theory of Donor States in Silicon
Walter Kohn,J. M. Luttinger +1 more
TLDR
In this paper, the authors used the recently measured effective masses for $n$-type Si, and obtained approximate solutions of the resulting effective mass Schroedinger equation for the case of the ground state where the error is attributed to failure of the effective mass theory near the donor nucleus.Abstract:
By using the recently measured effective masses for $n$-type Si, ${m}_{1}=0.98$ $m$ and ${m}_{2}=0.19$ m, approximate solutions of the resulting effective mass Schroedinger equation are obtained. The accuracy of the solutions was tested in the limiting cases where $\frac{{m}_{2}}{{m}_{1}}=1 \mathrm{and} 0$ respectively. The nature of the resulting states and their degeneracy is discussed in some detail, taking into account the fact that the conduction band of Si has six equivalent minima. Experimentally measured ionization energies show that the effective mass theory is seriously in error in the case of the ground state. This error is attributed to failure of the effective mass theory near the donor nucleus, and allowance for this failure is made in the case of higher states. This leads finally to a theoretical spectrum for the electrons bound by P, As, or Sb donors.read more
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Journal ArticleDOI
First-principles calculations for point defects in solids
Christoph Freysoldt,Blazej Grabowski,Tilmann Hickel,Jörg Neugebauer,Georg Kresse,Anderson Janotti,Chris G. Van de Walle +6 more
TL;DR: The theoretical modeling of point defects in crystalline materials by means of electronic-structure calculations, with an emphasis on approaches based on density functional theory (DFT), is reviewed in this paper.
Journal ArticleDOI
Silicon quantum electronics
Floris A. Zwanenburg,Andrew S. Dzurak,Andrea Morello,Michelle Y. Simmons,Lloyd C. L. Hollenberg,Gerhard Klimeck,Sven Rogge,Susan Coppersmith,Mark A. Eriksson +8 more
TL;DR: In this paper, a review describes recent groundbreaking results in Si, Si/SiGe, and dopant-based quantum dots, and highlights the remarkable advances in Sibased quantum physics that have occurred in the past few years.
Journal ArticleDOI
The electronic structure of impurities and other point defects in semiconductors
TL;DR: In this article, a review of the various theoretical methods that have been developed for the study of states introduced by impurities and other point defects in semiconductors is presented, including those of the effective mass type, and a wide range of methods appropriate to deep levels.
Journal ArticleDOI
Electron spin resonance in the study of diamond
J H N Loubser,J. A. Van Wyk +1 more
TL;DR: The role of electron spin resonance in the study of both natural and synthetic diamond is reviewed in this paper, where a brief survey of the physical significance of the constants in the spin Hamiltonian, as well as experimental technique, is given.
Journal ArticleDOI
Spectroscopy of the solid-state analogues of the hydrogen atom: donors and acceptors in semiconductors
A. K. Ramdas,S. Rodriguez +1 more
TL;DR: In this paper, the authors discuss the electronic energy levels of chemical impurities in the classic group IV elemental and the III-V and II-VI compound semiconductors and discuss the experimental results on the spectroscopy of donors and acceptors.