Investigation of an energy dependent node creation in graphene quantum states

A quantum state in monolayer graphene can acquire an extra node when its eigenenergy varies relative to the energy range of an applied potential well. In contrast to a non relativistic quantum state, this node creation is not followed by a change in the eigenenergy index. Here, we consider two-component confined states in a cylindrically symmetric graphene system and investigate an energy dependent node creation in a uniform magnetic field. We show that an extra node can be created in one of the two components by increasing the strength of the potential well and the same node can be destroyed by tuning the magnetic field. We demonstrate the importance of the sign of the angular momentum and examine the appropriate conditions which enhance the effect of the node on the quantum states.

Automated summary

In monolayer graphene, an extra node can be created in a quantum state when its eigenenergy varies relative to the energy range of an applied potential well. This node creation is not followed by a change in the eigenenergy index, unlike non-relativistic quantum states. By increasing the strength of the potential well and tuning the magnetic field, an extra node can be created or destroyed in one component. The sign of the angular momentum plays a crucial role in the effect of the node on the quantum states.