PSEUDOPOTENTIAL THEORY OF EXCITON AND IMPURITY STATES,

Abstract

A formalism for studying central cell corrections to the effective mass equation is presented. A generalized impurity equation for excitons and impurity states is derived, including the effects of dielectric response and large-k variation of the effective mass. Because of the presence of interband matrix elements of the impurity potential in the general case, this equation is not easily solved. By transforming to a representation in which the core parts of Bloch functions are removed a pseudo-wave equation is developed. In this equation the effective impurity potential is substantially cancelled within the central cell, so that interband matrix elements are sharply reduced, and the usual one-band approximation is valid. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0646998

Entities

People

  • J. C. Phillips
  • J. Hermanson

Organizations

  • University of Chicago

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Impurities
  • Mathematics
  • Wave Equations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics