Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field

TL;DR

This paper constructs and analyzes various classes of coherent states in graphene subjected to a perpendicular magnetic field, using the symmetric gauge and algebraic methods to explore angular momentum properties.

Contribution

It introduces new coherent states in graphene under magnetic fields using the Barut-Girardello approach and the algebraic structure of the system.

Findings

Different classes of coherent states are obtained.

Partial and angular momentum eigenstates are characterized.

The algebraic framework facilitates state construction.

Abstract

In this work we describe semiclassical states in graphene under a constant perpendicular magnetic field by constructing coherent states in the Barut-Girardello sense. Since we want to keep track of the angular momentum, the use of the symmetric gauge and polar coordinates seemed the most logical choice. Different classes of coherent states are obtained by means of the underlying algebra system, which consists of the direct sum of two Heisenberg-Weyl algebras. The most interesting cases are a kind of partial coherent states and the coherent states with a well-defined total angular momentum.