Multiple mobility edges in a 1D Aubry chain with Hubbard interaction in presence of electric field: Controlled electron transport

TL;DR

This paper investigates how a 1D Aubry chain with Hubbard interaction and an electric field exhibits multiple energy bands and localized states, enabling controlled electron transport for potential switching applications.

Contribution

It introduces a model combining Hubbard interaction and Aubry potential under electric field, demonstrating tunable transmission properties in a 1D chain.

Findings

Multiple energy bands are generated due to Hubbard and Aubry effects.

Electric field induces localized states within these bands.

Selective transmission can be achieved by tuning electron energy.

Abstract

Electronic behavior of a 1D Aubry chain with Hubbard interaction is critically analyzed in presence of electric field. Multiple energy bands are generated as a result of Hubbard correlation and Aubry potential, and, within these bands localized states are developed under the application of electric field. Within a tight-binding framework we compute electronic transmission probability and average density of states using Green's function approach where the interaction parameter is treated under Hartree-Fock mean field scheme. From our analysis we find that selective transmission can be obtained by tuning injecting electron energy, and thus, the present model can be utilized as a controlled switching device.