Abstract
We explore the non-local correlation dynamics in a Graphene sheet of disordered electrons in a two-dimensional honeycomb lattice, containing two sublattices, induced by the interaction range of impurity potentials of two Dirac points. The Bell function, uncertainty-induced non-locality, and concurrence are used to investigate the formation and robustness of the non-local correlation between the honeycomb lattice and the Dirac point. The generated lattice-point non-local correlations are explored when the lattice-point system is initially in the uncorrelated state. Due to the lattice-point interaction, the resulting Bell-function non-locality and entanglement concurrence satisfy the hierarchy principle. The generated uncertainty-induced non-locality correlation has a higher degree of stability and robustness than the Bell non-locality and concurrence. We analyze the robustness of the initial maximal non-local correlations under the effects of the band parameter, the intravalley scattering processes, the wave numbers, and the intrinsic decoherence. The formation and stability of lattice-point correlations are highly dependent on the honeycomb lattice and Dirac point characteristics.
Highlights
We explore the non-local correlation dynamics in a Graphene sheet of disordered electrons in a two-dimensional honeycomb lattice, containing two sublattices, induced by the interaction range of impurity potentials of two Dirac points
By comparing the case = (1, 7) with the case = (7, 7), we find the the increasing of the energy of the second case leads to the reduction of the generated Concurrence entanglement (CE), Uncertainty-induced non-locality (UIN) and Maximal Bell function (MBF) non-local correlations and the preservation of the initial nonlocal correlations
We have considered a graphene sheet of disordered electrons in a two-dimensional honeycomb lattice that contains two sublattices induced by the interaction of the impurity potentials of two Dirac points
Summary
We consider a graphene sheet of disordered electrons in a two-dimensional honeycomb lattice. In this case, η = 2 , the uncertainty-induced non-locality presents the highest generated lattice-point non-local correlation. In this case, the reduction of the fluctuations and the amplitudes of the CE, UIN, and MBF is faster than that of the case η =.
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