Exact electron states in 1D (quasi-) periodic arrays of delta-potentials
Abstract
Description
Exact one-electron eigenstates in finite parts of 1D periodic and Fibonacci chains of attractive and repulsive delta potentials are computed and analyzed. Bloch and bound state boundary conditions are related in terms of transfer matrices. Scenarios of positive and negative energy are distinguished. The dependence on the potential strength parameter is analyzed. The scattering matrix is computed. Implications for the interpretation of band germs in quasiperiodic chains are discussed.
33 pages, see also http://homepages.uni-tuebingen.de/peter.kramer/, to be published in Proc. Int. School Les Houches 1998
33 pages, see also http://homepages.uni-tuebingen.de/peter.kramer/, to be published in Proc. Int. School Les Houches 1998