Polarization in Quasirelativistic Graphene Model with Topologically Non-Trivial Charge Carriers

Autor: Halina Grushevskaya, George Krylov
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Quantum Reports, Vol 4, Iss 1, Pp 1-15 (2021)
Druh dokumentu: article
ISSN: 2624-960X
DOI: 10.3390/quantum4010001
Popis: Within the earlier developed high-energy-k→·p→-Hamiltonian approach to describe graphene-like materials, the simulations of band structure, non-Abelian Zak phases and the complex conductivity of graphene have been performed. The quasi-relativistic graphene model with a number of flavors (gauge fields) NF=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 Zak-phases set for the non-Abelian Majorana-like excitations (modes) in graphene represent the cyclic Z12 and this group is deformed into a smaller one Z8 at sufficiently high momenta due to a deconfinement of the modes. Simulations of complex longitudinal low-frequency conductivity have been performed with a focus on effects of spatial dispersion. A spatial periodic polarization in the graphene models with the pseudo Majorana charge carriers is offered.
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