1. Abstract It is well known that one-dimensional systems with uncorrelated disorder behave like insulators because their electronic states localize at sufficiently large length scales i.e. for systems whose length is larger than the electronic localization length the conductance vanishes exponentially. We study electronic transport through a one-dimensional array of sites using Tight Binding Hamiltonian, where the distribution of site energies is given by a chaotic numbers generator. The degree of correlation between these energies is controlled by a parameter which regulates the dynamical Lyapunov exponent of the sequence. We observe the effect of such a correlation on transport properties, finding evidences of a Metal-Insulator Transition in the thermodynamic limit, for a certain value of the control parameter of the correlation. Instituto Venezolano de Investigaciones Científicas Centro de Física Apartado 21827 Caracas 1020A, Venezuela Metal-Insulator Transition in one- dimensional lattices with chaotic energy sequences Ricardo Pinto 1 Ernesto Medina 1 Miguel E. Rodriguez 1 Jorge A. González 2 1 Laboratorio de Física Estadística de Sistemas Desordenados IVIC, Venezuela, 2 Laboratorio de Física Computacional IVIC, Venezuela References: [1]. H. M. Pastawski and E. Medina, Rev. Mex. Fís. 47, 1 (2001). [2] F. de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998). [3] P. Carpena, P. Bernaloa-Galván, P. Ch. Ivanov & H. E. Stanley, Nature 418, 955 (2002). [4] H. Nazareno, J. A. González, I. F. Costa, Phys. Rev. B 57, 13583 (1998). Results The Model Our model [1] describes a one-dimensional lattice with N sites each with a one electron state. We describe the Hamiltonian of the system (H) in the Tight-Binding approximation with nearest-neighbour interactions with diagonal disorder. The local energies  i (i=1,..,N), are taken from a chaotic number generator:  i+1  1- sin(z*asin(  i 1/2 )), whose correlation can be controlled by the parameter z, which is uniquely linked to the Lyapunov exponent [4]: =ln(z). The system is connected at both ends to ordered one-dimensional leads, which introduce a self-energy term  l in the system and, consequently, a finite escape probability. Introduction There has been great interest in studying the effect of correlations on electronic states in disordered lattices. There is recent evidence that correlations, in the local energy distribution, yields delocalization of the wave function in these structures. Such phenomena could serve to explain electronic transport properties in certain systems such as polymers, proteins, and more recently, DNA chains. De Moura [2], and more recently, Carpena et al [3] proposed a model for a one- dimensional lattice with correlated disorder, where a disorder-induced Metal-Insulator Transition is found in the thermodynamic limit. We show that in a lattice with a chaotic energy sequence of known correlation a Metal-Insulator Transition also ensues. Fig. 5: Conductance as a function of the control parameter z for three different sizes of the system. All of the three curves overlap, indicating that the behaviour g(z) is independent from the size. Notice that localization occurs at a value z>1. We recall that z  1 represents the trivial case of an ordered system. Fig. 6: Wave function for different values of the control parameter z, where we can see the crossover to a localized state as z increases. Fig. 4: Conductance as a function of the control parameter z for systems of different sizes. Fig. 1: Bifurcation map corresponding to the chaotic number generator to set the energies of sites. In this sample we used E 1 = 0.3. Fig. 3: Conductance scaling for different values of the parameter z. The system is set to an energy value within the region I in the Fig. 2. Fig. 2: Localization length as a function of the Fermi’s energy. Note the two regions in which the localization length is larger than the size of the system (N=1500). II I