Mode entanglement of an electron in one-dimensional determined and random potentials

TL;DR

This paper investigates how mode entanglement, measured by concurrence, can distinguish between extended and localized states of an electron in one-dimensional potentials, potentially serving as an indicator for metal-insulator transitions.

Contribution

It introduces the use of mode entanglement as a novel index for identifying metal-insulator transitions in one-dimensional systems with various potentials.

Findings

Mode entanglement sharply changes at mobility edges.

Concurrence effectively distinguishes extended and localized states.

Mode entanglement can serve as a new indicator for metal-insulator transition.

Abstract

By using the measure of concurrence, mode entanglement of an electron moving in four kinds of one-dimensional determined and random potentials is studied numerically. The extended and local- ized states can be distinguished by mode entanglement. There are sharp transitions in concurrence at mobility edges. It provides that the mode entanglement may be a new index for a metal-insulator transition.