2024/10/25 by Fabio Bagarello, Bagarello, Fabio, Francesco Gargano +3
Physics and Astronomy · Materials Science · #Quantum Mechanics and Non-Hermitian Physics #Solid-state spectroscopy and crystallography
paper · pdf · doi:10.48550/arxiv.2410.19621
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.