Field-Tunable Quantum Metric in Few-Layer Phosphorene

TL;DR

This paper demonstrates how electric fields can tune the quantum metric in few-layer phosphorene, a 2D material, enabling control over quantum geometric properties relevant for future quantum technologies.

Contribution

It introduces the first demonstration of a tunable quantum metric in a versatile 2D material, showing electric field control and layer-dependent evolution in few-layer phosphorene.

Findings

Electric fields significantly enhance the quantum metric.

Layer-dependent quantum metric evolution observed.

Few-layer phosphorene is a promising platform for quantum metric control.

Abstract

The quantum metric -- which quantifies the distance between quantum states -- is a fundamental component of the quantum geometric tensor, playing a crucial role in a wide range of physical phenomena. Its direct detection and control remains a challenge, requiring suitable material candidates. In this work, we present the emergence of a tunable quantum metric in a versatile two-dimensional material platform, namely, few-layer phosphorene. Using ab-initio-derived models, we show how electric fields can be used to substantially enhance the quantum metric as well as the associated quantum weight. Furthermore, we present a layer-dependent evolution of the quantum metric and its interplay with the electric field in this material. Our results establish few-layer phosphorene as a promising platform for exploring control over the quantum metric and the resulting metric responses in real materials.