Analytical solution of open crystalline linear 1D tight-binding models
Analytical solution of open crystalline linear 1D tight-binding models
A method for finding the exact analytical solutions for the bulk and edge energy levels and corresponding eigenstates for all commensurate Aubry-Andr\'e/Harper single-particle models under open boundary conditions is presented here, both for integer and non-integer number of unit cells. The solutions are ultimately found to be dependent on the …