# Efficient Control of High Harmonic Generation in Carbon Nanotubes using the Aharonov-Bohm Effect

## TL;DR

This paper demonstrates that applying a magnetic field to carbon nanotubes can control high-harmonic generation by inducing a bandgap via the Aharonov-Bohm effect, enabling tunable THz emission.

## Contribution

It introduces a novel method to manipulate HHG in CNTs through magnetic field-induced bandgap engineering using the Aharonov-Bohm effect.

## Key findings

- Magnetic field induces a bandgap in metallic CNTs, turning them into gapped Dirac systems.
- Gapped CNTs show significantly increased HHG intensity in the THz regime.
- Gapless CNTs do not produce HHG due to constant electron velocity.

## Abstract

We show that high-harmonic generation (HHG) in carbon nanotubes (CNTs) can be efficiently controlled using the Aharanov-Bohm (AB) effect. When a static magnetic field (B) is applied along the tube, electronic wave functions acquire complex phases along the circumferential direction (AB effect), which modifies the band structure. In particular, when the magnetic field is applied to metallic CNTs, which can be regarded as one-dimensional massless Dirac systems, realistic values of B lead to a nonzero gap in the THz regime. We demonstrate that such change from gapless to gapped Dirac systems drastically increases the HHG intensity in the THz regime. In the gapless Dirac system, the velocity of each electron never changes under the electric field, and thus there is no HHG. On the other hand, the gap opening activates both the interband and itraband currents, which strongly contribute to HHG. Our work demonstrates a unique way to manipulate HHG in nanotubes by tuning electronic wave functions using the magnetic field and the tube structure.