Effects of correlation on the structure of impurity bands
Gust Bambakidis, United States. National Aeronautics and Space Administration, Lewis Research Center
National Aeronautics and Space Administration, 1970 - Mathematics - 15 pages
The effects of electron-electron interaction on the electronic density of states has been considered for a dilute system of scattering centers distributed randomly in an electron gas of moderate density. Using as the starting point an independent-electron t-matrix method, a modified t-matrix in the presence of the electron-electron interaction is obtained. To illustrate the effects of correlation, the formalism has been applied to the simple case of a linear chain of attractive 6-function potentials distributed randomly. The electrons are assumed to interact by means of a repulsive 6-function potential. The density of states in the impurity band is evaluated and compared with the results for independent electrons. It is found that the inclusion of electron-electron interaction produces a significant broadening and downward energy shift of the impurity band.
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6-function potential articulation point assumed to interact band is evaluated band with respect bound-state broadening and downward centers distributed randomly chain of attractive Cloizeaux closed form density of single-particle dilute system downward energy shift effect of particle-particle EFFECTS OF CORRELATION effects of electron-electron electron gas electron-electron interaction produces electrons are assumed Fermi level free-particle propagator gas of moderate Ge(k GQ(k Gust Bambakidis Hamiltonian i=l i=l impurities distributed impurity band inclusion of electron-electron independent electrons independent-electron t-matrix method interact by means irreducible diagrams isolated impurity Lewis Research Center linear chain modified t-matrix obtain particle gas particle interaction particle-impurity t-matrix particle-particle interaction PaS(k Performing Organization point an independent-electron potential energy potentials distributed randomly presence propagator line remove the diagonal repulsive 6-function results for independent scattering centers distributed scattering centers encountered Se(k Security Classif self-energy self-propagator significant broadening STRUCTURE OF IMPURITY summed into closed system of scattering ta(co Unclassified