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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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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. |
format | Online Article Text |
id | pubmed-10528318 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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