# Graphene wormhole trapped by external magnetic field

## TL;DR

This paper investigates how massless fermions behave in a graphene wormhole structure under an external magnetic field, revealing energy spectra similar to Landau levels through solving the Dirac equation.

## Contribution

It introduces a detailed analysis of fermion behavior in a graphene wormhole with magnetic field, solving the Dirac equation in this unique geometry.

## Key findings

- Energy spectra resemble Landau levels
- Wave functions are analyzed in the wormhole geometry
- External magnetic field influences fermion states

## Abstract

In this work we study the behavior of massless fermions in a graphene wormhole and in the presence of an external magnetic field. The graphene wormhole is made from two sheets of graphene that play the roles of asymptotically flat spaces connected through a carbon nanotube with a zig-zag boundary. We solve the massless Dirac equation in this geometry and analyze its wave function. We show that the energy spectra of these solutions exhibit similar behavior to Landau levels.