Polarization in quasirelativistic graphene model with topologically non-trivial charge carriers
| Autor: | Grushevskaya, Halina, Krylov, George |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Within the earlier developed high-energy-$\vec k\cdot \vec p$-Hamiltonian approach to describe graphene-like materials, the simulations of band structure, non-Abelian Zak phases and complex conductivity of graphene have been performed. The quasi-relativistic graphene model with a number of flavors (gauge fields) $N_F=3$ in two approximations (with and without a pseudo-Majorana mass term) has been utilized as a ground for the simulations. It has been shown that a Zak-phases set for the non-Abelian Majorana-like excitations (modes) in graphene is the cyclic group $\mathbf{Z}_{12}$ and this group is deformed into a smaller one $\mathbf{Z}_8$ at sufficiently high momenta due to a deconfinement of the modes. Simulations of complex longitudinal low-frequency conductivity have been performed with focus on effects of spatial dispersion. The spatial periodic polarization in the graphene models with the pseudo Majorana charge carriers is offered. Comment: 16pages,4figures, submitted to Quantum Reports |
| Databáze: | arXiv |
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