Rotation effects on the graphene wormhole energy levels

TL;DR

This paper investigates how rotational effects influence the electronic energy levels of a graphene wormhole by solving the Dirac equation in a rotating wormhole background, revealing modifications to Landau levels and analogies with fermions in G"odel-type spacetime.

Contribution

It introduces a model for rotating graphene wormholes and derives the resulting energy levels, extending previous static models to include rotation effects.

Findings

Rotation modifies the Landau levels in graphene wormholes.

The model establishes an analogy with fermions in G"odel-type spacetime.

Rotational effects could influence electronic properties in graphene-based systems.

Abstract

In this work, we are interested in how spinning effects influence the electronic properties of the graphene wormhole. For this purpose, we have described the graphene by the wormhole background based on the model developed by Gonz\'alez and his co-workers. By applying a coordinate transformation in the metric of graphene wormhole, we can introduce rotating effects. In the continuum limit, by solving the massless Dirac equation in the context of a rotating wormhole background, we obtain the Landau levels for the rotating graphene wormhole. We still have exposed the analogy between the graphene wormhole and fermions on the G\"odel-type spacetime.