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Reduced QED with Few Planes and Fermion Gap Generation

The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of a few atomically thick layers, and the corresponding effective (2+1)-dimensional gauge theory is formulated. This dimensionally reduced theory describes charged fermions confined to N planes a...

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Detalles Bibliográficos
Autores principales: Gorbar, Eduard V., Gusynin, Valery P., Parymuda, Maxim R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10528318/
https://www.ncbi.nlm.nih.gov/pubmed/37761616
http://dx.doi.org/10.3390/e25091317
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author Gorbar, Eduard V.
Gusynin, Valery P.
Parymuda, Maxim R.
author_facet Gorbar, Eduard V.
Gusynin, Valery P.
Parymuda, Maxim R.
author_sort Gorbar, Eduard V.
collection PubMed
description The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of a few atomically thick layers, and the corresponding effective (2+1)-dimensional gauge theory is formulated. This dimensionally reduced theory describes charged fermions confined to N planes and contains N vector fields with Maxwell’s action modified by non-local form factors whose explicit form is determined. Taking into account the polarization function, the explicit formulae for the screened electromagnetic interaction are presented in the case of two and three layers. For a heterostructure with two atomically thick layers and charged fermions described by the massless Dirac equation, the dynamical gap generation of the excitonic type is studied. It is found that additional screening due to the second layer increases the value of the critical coupling constant for the gap generation compared to that in graphene.
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spelling pubmed-105283182023-09-28 Reduced QED with Few Planes and Fermion Gap Generation Gorbar, Eduard V. Gusynin, Valery P. Parymuda, Maxim R. Entropy (Basel) Article The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of a few atomically thick layers, and the corresponding effective (2+1)-dimensional gauge theory is formulated. This dimensionally reduced theory describes charged fermions confined to N planes and contains N vector fields with Maxwell’s action modified by non-local form factors whose explicit form is determined. Taking into account the polarization function, the explicit formulae for the screened electromagnetic interaction are presented in the case of two and three layers. For a heterostructure with two atomically thick layers and charged fermions described by the massless Dirac equation, the dynamical gap generation of the excitonic type is studied. It is found that additional screening due to the second layer increases the value of the critical coupling constant for the gap generation compared to that in graphene. MDPI 2023-09-09 /pmc/articles/PMC10528318/ /pubmed/37761616 http://dx.doi.org/10.3390/e25091317 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Gorbar, Eduard V.
Gusynin, Valery P.
Parymuda, Maxim R.
Reduced QED with Few Planes and Fermion Gap Generation
title Reduced QED with Few Planes and Fermion Gap Generation
title_full Reduced QED with Few Planes and Fermion Gap Generation
title_fullStr Reduced QED with Few Planes and Fermion Gap Generation
title_full_unstemmed Reduced QED with Few Planes and Fermion Gap Generation
title_short Reduced QED with Few Planes and Fermion Gap Generation
title_sort reduced qed with few planes and fermion gap generation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10528318/
https://www.ncbi.nlm.nih.gov/pubmed/37761616
http://dx.doi.org/10.3390/e25091317
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