On the electron–polaron–electron–polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics

Wellisson Barbosa De Lima, Oswaldo Monteiro Del Cima () and Émerson da Silva Miranda
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Wellisson Barbosa De Lima: Centro Brasileiro de Pesquisas Físicas (CBPF)
Oswaldo Monteiro Del Cima: Universidade Federal de Viçosa (UFV), Departamento de Física, Campus Universitário, Avenida Peter Henry Rolfs s/n
Émerson da Silva Miranda: Universidade Federal de Viçosa (UFV), Departamento de Física, Campus Universitário, Avenida Peter Henry Rolfs s/n

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 10, 1-8

Abstract: Abstract The parity-preserving U(1) × U(1) massless QED3 is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses, and charges of the quasiparticles (electron–polaron, hole–polaron, photon, and Néel quasiparticles), which emerge from the model are discussed. The four-fold broken degeneracy of the Landau levels, similar as the one experimentally observed in pristine graphene submitted to high applied external magnetic fields, is obtained. Furthermore, the model exhibits zero-energy Landau level indicating a kind of anomalous quantum Hall effect. The electron–polaron–electron–polaron scattering potentials in s- and p-wave states mediated by photon and Néel quasiparticles are computed and analyzed. Finally, the model foresees that two electron–polarons (s-wave state) belonging to inequivalent K and K′ points in the Brillouin zone might exhibit attractive interaction, while two electron–polarons (p-wave state) lying both either in K or in K′ points experience repulsive interaction. Graphical abstract

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-100594-7

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