Date of Degree
PhD (Doctor of Philosophy)
First Committee Member
Michael E Flatté
Second Committee Member
Third Committee Member
Fourth Committee Member
Fifth Committee Member
It has become increasingly apparent that the future of electronic devices can and will rely on the functionality provided by single or few dopant atoms. The most scalable physical system for quantum technologies, i.e. sensing, communication and computation, are spins in crystal lattices. Diamond is an excellent host crystal offering long room temperature spin coherence times and there has been exceptional experimental work done with the nitrogen vacancy center in diamond demonstrating many forms of spin control. Transition metal dopants have additional advantages, large spin-orbit interaction and internal core levels, that are not present in the nitrogen vacancy center. This work explores the implications of the internal degrees of freedom associated with the core d levels using a tight-binding model and the Koster-Slater technique. The core d levels split into two separate symmetry states in tetrahedral bonding environments and result in two levels with different wavefunction spatial extents. For 4d semiconductors, e.g. GaAs, this is reproduced in the tight-binding model by adding a set of d orbitals on the location of the transition metal impurity and modifying the hopping parameters from impurity to its nearest neighbors. This model does not work in the case of 3d semiconductors, e.g. diamond, where there is no physical reason to drastically alter the hopping from 3d dopant to host and the difference in wavefunction extent is not as pronounced. In the case of iron dopants in gallium arsenide the split symmetry levels in the band gap are responsible for a decrease in tunneling current when measured with a scanning tunneling microscope due to interference between two elastic tunneling paths and comparison between wavefunction measurements and tight-binding calculations provides information regarding material parameters. In the case of transition metal dopants in diamond there is less distinction between the symmetry split d levels. When considering pairs of transition metal dopants an important quantity is the exchange interaction between the two, which is a measure of how fast a gate can be operated between the pair and how well entanglement can be created. The exchange interaction between pairs of transition metal dopants has been calculated in diamond for several directions in the (110) plane, and for select transition metal dopants in gallium arsenide. In tetrahedral semiconductors transition metal dopants provide an internal degree of freedom due to the symmetry split d levels and this included functionality makes them special candidates for single spin based quantum technologies as well as physical systems to learn about fundamental physics.
Technology has become of the utmost importance in our world. As our ability to look at smaller and smaller pieces of matter progresses it is becoming increasingly apparent that the future of electronic devices can and will rely on the functionality provided by single or very few atoms. A single atom in a semiconductor which does not match the atoms that make up the semiconductor provides a well defined state with favorable properties for use in quantum technologies. These technologies, i.e. sensing, communication and computation, rely on the intrinsic quantum nature of a new kind of bit, a qubit. Qubits can exist in an on or an off state like conventional bits but can also exist in a combination of on and off. Making use of this property unique to quantum systems will change the way conventional computers operate and make problems that are currently intractable possible to solve with a computer. In order to achieve this goal it is necessary to understand the electric structure of the single atom which is providing the qubit state. Here we model the individual atom in its surrounding semiconductor to understand the different implications of the electronic structure and its effect on the atom's wavefunction. This information reveals how well two of these qubits could interact as well as how effectively the qubit state, on, off or some combination of both, can be controlled. This understanding will help guide and interpret experimental ventures aimed towards making and controlling qubits.
publicabstract, dopant, tight-binding
xii, 120 pages
Includes bibliographical references (pages 108-120).
Copyright 2015 Victoria Ramaker Kortan
Kortan, Victoria Ramaker. "Transition-metal dopants in tetrahedrally bonded semiconductors: symmetry and exchange interactions from tight-binding models." PhD (Doctor of Philosophy) thesis, University of Iowa, 2015.