Hydrino like states in graphene and Aharonov-Bohm field

TL;DR

This paper investigates the formation of hydrino-like states in graphene influenced by Coulomb impurities and Aharonov-Bohm fields, highlighting how the AB flux can stabilize certain states and analyzing the effects of key coupling constants.

Contribution

It introduces the concept of hydrino-like states in graphene under Aharonov-Bohm influence and explores how AB flux tuning affects their stability and degeneracy.

Findings

AB flux can stabilize low angular momentum hydrino states

Degeneracy is lifted by the AB field

Zero limit physics of coupling constants is discussed

Abstract

We study the dynamics of fermions on graphene in presence of Coulomb impurities and Aharonov-Bohm field. Special emphasis is given to the formation of hydrino like states and its lifting of degeneracy due to the presence of AB field. The flux of the AB field can be tuned to make the low angular momentum hydrino states stable against decay. The zero limit physics of the two coupling constants \alpha_G and \Phi involved in the system is discussed.