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Physics Letters A

Influence of the modulated hopping on the one-dimensional interacting electron system

Hanqin Ding, Jun Zhang

Published May 19, 2015• 3 citations
Publisher
DOI
10.1016/j.physleta.2015.05.026

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We study quantum transport in a one-dimensional Hubbard ring with dimerized nearest-neighbor hoppings and a Fibonacci-modulated onsite potential. For non-interacting case our analysis reveals that at half-filling, the charge current along with the Drude weight decreases with increasing onsite potential when inter-cell hopping dominates over the intra-cell hopping, while for dominating intra-cell hopping it shows non-monotonic behavior with sharp peak at certain critical modulation strength, indicating enhanced transport. Moving away from half-filling gives rise to re-entrant features in both quantities at fillings associated with Fibonacci numbers. On the other hand, in spin-imbalanced systems, both spin and charge current shows multiple peaks and re-entrant behavior, tunable via hopping dimerization and filling. Including the on-site Hubbard interaction preserves the re-entrant behavior in current and moreover favors finite transport which is absent in the non-interacting ring. These results reveal rich interplay among Fibonacci modulated potential, electron fillings, hopping dimerization and interaction.
A generalized multiorbital Hubbard model, which includes on-site interorbital electron hoppings, is introduced and studied on an arbitrary basis. In a general system the on-site interorbital single-electron hopping may exist realistically between two orbitals, e.g., the excitation of electrons or flow of electrons between two hybridized states, and is hence one of the most basic interactions like the intersite hopping and the on-site Coulomb interactions. It is shown in this work how the higher order interactions can be well incorporated (or generated) in the equations of motion from the basic interactions in the Hamiltonian, which has made it possible and also given a self-consistent way to investigate these higher order correlation effects. The two-orbital Hubbard model is studied numerically in the paramagnetic case to demonstrate the influence of the single-electron hopping effect, leading to a change of the shape of the bands and a shrinking of the difference between the two bands. Inclusion of the on-site interorbital hopping suppresses the so-called orbital-selective Mott transition.