Graphene generalized coherent states

TL;DR

This paper constructs and analyzes generalized coherent states for electrons in graphene under magnetic fields, exploring their properties, equivalence conditions, and time evolution to deepen understanding of quantum states in graphene.

Contribution

It introduces a method to construct and analyze generalized coherent states specific to graphene's electronic structure in magnetic fields, including their physical properties and dynamics.

Findings

Coherent states are successfully constructed for graphene electrons.

Conditions for mutual equivalence of coherent states are identified.

Time evolution of these states is characterized and analyzed.

Abstract

In this paper we construct the generalized coherent states for an electron in monolayer or bilayer graphene placed in an external magnetic field. At first we define an appropriate set of ladder operators acting on the eigenfunctions for each Hamiltonian, afterwards we derive the generalized coherent states through several definitions and analyze the commutation relationship between the ladder operators. Then we determine the conditions leading to the mutual equivalence between coherent states. Finally, some physical quantities are calculated and we study the time evolution for the generalized graphene coherent states.