Focusing on the formalism and application of k.p theory, this book offers an in-depth exploration tailored for both bulk and nanostructured semiconductors. Readers will develop a comprehensive understanding of the k.p method, enhancing their grasp of the electronic structure within semiconductor materials.
A Study Based on the Empirical Tight Binding Model
The study delves into the electronic and optical properties of intrinsic semiconductors through the orthogonal empirical tight binding model. It analyzes bulk properties of semiconductors with zincblende, diamond, and rocksalt structures, extending previous work to higher-order interaction integrals. New parameter sets for specific semiconductors are introduced, improving alignment with experimental data across the Brillouin zone. Additionally, the Hamiltonian of heterostructures is constructed layer by layer using parameters from the bulk constituents.
I first encountered the k·p method in a semiconductor physics course at Harvard in 1956, taught by my thesis adviser, William Paul. He introduced the k·p Hamiltonian as a semiempirical tool useful for interpreting cyclotron resonance experiments, as noted by Dresselhaus, Kip, and Kittel. This perturbation technique had previously been discussed by Sholey in a 1950 Physical Review article. In 1958, Harvey Brooks, then Dean of the Division of Engineering and Applied Physics, delivered a lecture on the k·p technique's ability to predict and fit non-parabolicities of band extrema in semiconductors. He had recently visited General Electric Labs and discussed Evan Kane's work on non-parabolicity in semiconductors, particularly InSb. I found Dean Brooks's talk compelling as it showcased quantum mechanics applied to real-world issues. During my thesis work, I conducted various optical measurements that required theoretical interpretation, including the dependence of effective masses of semiconductors on temperature and carrier concentration. Despite my limited theoretical skills, with guidance from Paul and Brooks, I learned to utilize the k·p method to interpret my findings effectively.