Mobility edge phenomenon in a Hubbard chain: A mean field study

TL;DR

This study demonstrates that a one-dimensional Hubbard chain with mixed interacting and non-interacting sites can exhibit multiple mobility edges under an external electric field, analyzed through a mean field approach for potential device applications.

Contribution

It introduces a mean field method to identify multiple mobility edges in a Hubbard chain with mixed atomic sites under electric field, aiding mesoscale device design.

Findings

Multiple mobility edges observed at different energies.

Transport properties depend on atomic arrangement.

Potential for designing mesoscale switching devices.

Abstract

We show that a tight-binding one-dimensional chain composed of interacting and non-interacting atomic sites can exhibit multiple mobility edges at different values of carrier energy in presence of external electric field. Within a mean field Hartree-Fock approximation we numerically calculate two-terminal transport by using Green's function formalism. Several cases are analyzed depending on the arrangements of interacting and non-interacting atoms in the chain. The analysis may be helpful in designing mesoscale switching devices.