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

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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.

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Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, 22290-180, Urca, RJ, Brazil

    Wellisson Barbosa De Lima

  2. Universidade Federal de Viçosa (UFV), Departamento de Física, Campus Universitário, Avenida Peter Henry Rolfs s/n, 36570-900, Viçosa, MG, Brazil

    Oswaldo Monteiro Del Cima & Émerson da Silva Miranda

  3. Ibitipoca Institute of Physics (IbitiPhys), 36140-000, Conceição do Ibitipoca, MG, Brazil

    Oswaldo Monteiro Del Cima

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  1. Wellisson Barbosa De Lima
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  2. Oswaldo Monteiro Del Cima
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Correspondence to Oswaldo Monteiro Del Cima.

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De Lima, W.B., Del Cima, O.M. & da Silva Miranda, É. On the electron–polaron–electron–polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics. Eur. Phys. J. B 93, 187 (2020). https://doi.org/10.1140/epjb/e2020-100594-7

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