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Updated: Jan 27, 2026

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting
Published on: May 14, 2016
Bloch Oscillations in Fibonacci lattices: polaron formation
Paulo Eduardo de Brito1, Bernhard Georg Enders2, Luiz Antonio Ribeiro3
1Faculty of Planaltina, University of Brasilia, Brasilia, 73345-010, Brazil. pedebrito@unb.br.
Abstract:
We investigated the dynamics of an electron subjected to a uniform electric field in the scope of a tight-binding electron-phonon interacting approach. We aimed at describing the transport in a one-dimensional lattice in which the on-site energies are distributed according to a Fibonacci sequence. Within this physical picture, we obtained a novel dynamical process with no counterpart in ordered lattices. Our findings showed that in low-disorder limit, the electron performs spatial Bloch oscillations, generating, in the turning points of its trajectory, composite quasi-particles-namely, polarons. When it comes to highly disordered systems, two strongly localized polarons are formed in the region where the oscillating charge is confined, thus propagating excitations that are present in the lattice.
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