Propriedade de transporte de cargas e magnons em sistemas com desordem, interação elétron-fônon e não-linearidade

Abstract

In this work we study PhD in general transport properties of and quasi particles-energy particles in one-dimensional systems. We study various models and, through different techniques, we obtained a long spectrum of new results. We did a quick study in a ternary d-1 with electronic distribution site built from a stochastic process known by Ornstein-Uhlenbeck (or). Through exact diagonalizacão we calculate the optical absorption spectrum and distribution of spacing between n ´ levels for this ternary model. Overall, we demonstrated that ´ and can control the position of the absorption peaks by regulating the ternary distribution. In a second moment, we present the results obtained for systems with electronic Dynamics coupled to's vibrations. In this sense, we conducted three separate works: at first, we study the dynamics of an electron in a anarmônica in the presence of electron-interaction network. This anarmônica network was built using the formalism of Fermi-Pasta-Ulam with cubic potential. We made also use of the tight-binding approach to treat the electronic transport, and a classical formalism to describe the longitudinal vibrations. In our studies, electron-interaction network was considered such that the integral of transfer between the neighboring atoms ´ is dependent on the effective distance between neighboring atoms ´ (SuSchrieffer-approach model J. Heeger SSH). Our results suggest a kind of solitônico mode control on electronic Dynamics along the nonlinear network adopted. And, therefore, a kind of State electron moving soliton along the chain. This apparent mobility of electron pair-soliton shown with seemingly constant speed and can be a crucial ingredient in the transport of loads in non-linear chains. In our second approach we investigate the dynamics of electronic State moving in a DNA chain containing N bases, in what we consider beyond the DNA intrinsic disorder distribution, the effect of the vibrations of the DNA. Again, the term electron network was considered such that the electronic hopping energy could depend on the effective distance between the nearest DNA bases. The main results obtained show that the electron-Phonon coupling can transpose the location of Anderson, promoting the emergence of a dynamic sub-difusiva to long. In our work, verificamos also played the role of Atomic coupling type (for 1st gear one cas ˆ nicas, cu ´ Bamford or interac ¸ ' Morse type) within the context of electronic transport in the presence of electron-Phonon coupling. Another point which we investigated was the interaction with acoustic waves pumped throughout the network (an simplificada way to consider acu waves ´ sticas ´ also surface in calls from SAW or Surface Acoustic Waves). In a context we conducted a research on the magnetic dynamics of a magnon in Heisenberg ferromagnetic systems in presence of interactions magnon-fo non ˆ. Our results show that the propagation of spin wave follows a super-difusivo scheme for all values of intensity of magnon-coupling network considered.