P. Carpena et al., FINITE PERIODIC AND QUASI-PERIODIC SYSTEMS IN AN ELECTRIC-FIELD, Zeitschrift fur Physik. B, Condensed matter, 102(3), 1997, pp. 425-431
We study several properties of Fibonacci and Thue-Morse sequences of s
quare well potentials in the presence of an applied electric field and
compare them with the results for periodic systems. We obtain integra
ted densities of states and show that Wannier-Stark ladders appear in
all cases. We analyze the fractal properties and the energy level spac
ing distributions and show that the effect of the electric field is to
make more regular the quasiperiodic systems. Finally, we obtain the w
avefunctions of these systems.