Coherent states of graphene layer with and without a PT-symmetric chemical potential

In this paper we construct different classes of coherent and bicoherent states for the graphene tight-binding model in presence of a magnetic field, and for a deformed version where we include a PT-symmetric chemical potential V. In particular, the problems caused by the absence of a suitable ground...

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Bibliographic Details
Published in:Annals of physics 2024-12, Vol.471, Article 169828
Main Authors: Bagarello, F., Gargano, F., Saluto, L.
Format: Article
Language:English
Subjects:
Graphene layer
Pseudo-Hermitian Qauntum Mechanics
symmetric Hamiltonian
Online Access:Get full text
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Summary:In this paper we construct different classes of coherent and bicoherent states for the graphene tight-binding model in presence of a magnetic field, and for a deformed version where we include a PT-symmetric chemical potential V. In particular, the problems caused by the absence of a suitable ground state for the system is taken into account in the construction of these states, for V=0 and for V≠0. We introduce ladder operators which work well in our context, and we show, in particular, that there exists a choice of these operators which produce a factorization of the Hamiltonian. The role of broken and unbroken PT-symmetry is discussed, in connection with the strength of V.
ISSN:0003-4916
DOI:10.1016/j.aop.2024.169828