Spectral properties of a tight binding Hamiltonian with period doubling potential
One dimensional tight binding Schrödinger operators, i.e. Hamiltonian operators whose potential is a diagonal matrix with an aperiodic sequence as elements, are studied. The paper attempts to give a complete and detailed analysis of the case of period double sequences. It is shown that in this case, for nonzero potential, the spectrum is purely singular continuous and has its support on a Cantor set of zero measure.
scientific article; zbMATH DE number 4199097
scientific article