Nonclassical properties of electronic states of aperiodic chains in a   homogeneous electric field
  The electronic energy levels of one-dimensional aperiodic systems driven by a homogeneous electric field are studied by means of a phase space description based on the Wigner distribution function. The formulation provides physical insight into the quantum nature of the electronic states for the aperiodic systems generated by the Fibonacci and Thue-Morse sequences. The nonclassical parameter for electronic states is studied as a function of the magnitude of homogeneous electric field to achieve the main result of this work which is to prove that the nonclassical properties of the electronic states in the aperiodic systems determine the transition probability between electronic states in the region of anticrossings. The localisation properties of electronic states and the uncertainty product of momentum and position variables are also calculated as functions of the electric field. 
Bartlomiej J. Spisak, Maciej Woloszyn
cond-mat.mes-hall