Basic Theory of Surface States
The theory of surface states underlies our knowledge of the behavior of electrons at solid surfaces, which is of paramount importance in understanding the mechanisms by which solid-state devices operate and catalytic reactions proceed. In this work, the subject is viewed through the "theoretical eye" of a physicist, but the topics are treated in an elementary fashion. The main features of the presentation are its instructive, model-based approach; detailed step-by-step derivations of the equations; smooth progression through the simple wave-function matching techniques to the more sophisticated Green-function methods; and the historical theme, which traces the evolution of the subject from its founding by the Nobel Laureate Igor Tamm in 1932, through the invention of the transistor in 1947 by Schockley, Bardeen and Brattain, to recent developments. The book will appeal to both theoretical and experimental surface scientists from chemistry, materials science, and electronic engineering.
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Airy functions Allen and Gobeli atomic orbitals band edges band of surface band structure Bartos boundary conditions Brillouin zone bulk band calculations Chiarotti cleavage conduction bands constant corresponding crystal surface curve Davison density electron energy bands energy distribution energy levels energy spectrum existence of surface experimental finite Gadzuk gives Goodwin Green-function Hamiltonian Himpsel image potential infinite crystal inside the crystal integral interaction Koutecky lattice lattice constant leads Lett Levine Mathieu functions Maue metals method Modinos obtained orbitals P-state parameter perturbation Phys plane positive reconstruction reduces resonance integral SchrŲdinger equation semi-infinite crystal semiconductor shown in Fig shows solid solutions Statz Steşlicka surface atoms surface bands surface potential surface reconstruction surface-state energy symmetry Tamm and Shockley Tamm's theoretical three-dimensional tion TomŠšek two-band valence band values virtual surface wave function zero
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