  Chaos-based potentials are defined and implemented in the one-dimensional
tight-binding model as a way of simulating disorder-controlled crystalline
lattices. In this setting, disorder is handled with the aid of the chaoticity
parameter. The inverse participation ratio $(IPR)$ probes the response of the
system to three different such potentials and shows consistent agreement with
results given by the Lyapunov exponent $Ly$: the greater $Ly(r)$ for the
chaotic sequence as a function of the chaoticity parameter $r$, the greater the
asymptotic value $IPR(r)$ for the large-system ground state.
