Quantum Holonomies in Graphene Wormholes

TL;DR

This paper explores quantum holonomies in graphene wormholes, focusing on their topological properties, localized electronic states, and the potential to manipulate these states via effective fluxes from defects.

Contribution

It introduces the concept of quantum holonomies in graphene wormholes and discusses how topological defects can be used to control electronic states.

Findings

Quantum holonomies can be realized in graphene wormholes.

Localized electronic states can be modeled by gauge fields.

Topological defects can generate effective fluxes for holonomy control.

Abstract

In this paper, a discussion about quantum holonomies around a possible bridge between two graphene sheets has been made. That bridge is widely known as a graphene wormhole, and some of its characteristics are also showed up here. As well as their build as a zigzag junction between a baggy nanotube and the graphene lattices. And how the localized electronic states could be mimicked by gauge fields in a low-energy regime. Further, the possibility to build holonomies handle by an effective flux from topological defects in junctions of that bridge has been discussed.