Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation

Abstract Here, we analyse two Dirac fermion species in two spatial dimensions in the presence of general quartic contact interactions. By employing functional bosonisation techniques, we demonstrate that depending on the couplings of the fermion interactions the system can be effectively described b...

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Autores principales:	Patricio Salgado-Rebolledo, Giandomenico Palumbo, Jiannis K. Pachos
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/90c598488fe34b4680d0ecb598bb082b
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spelling	oai:doaj.org-article:90c598488fe34b4680d0ecb598bb082b2021-12-02T12:40:41ZEffective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation10.1038/s41598-020-77966-32045-2322https://doaj.org/article/90c598488fe34b4680d0ecb598bb082b2020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-77966-3https://doaj.org/toc/2045-2322Abstract Here, we analyse two Dirac fermion species in two spatial dimensions in the presence of general quartic contact interactions. By employing functional bosonisation techniques, we demonstrate that depending on the couplings of the fermion interactions the system can be effectively described by a rich variety of topologically massive gauge theories. Among these effective theories, we obtain an extended Chern–Simons theory with higher order derivatives as well as two coupled Chern–Simons theories. Our formalism allows for a general description of interacting fermions emerging, for example, at the gapped boundary of three-dimensional topological crystalline insulators.Patricio Salgado-RebolledoGiandomenico PalumboJiannis K. PachosNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-9 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Patricio Salgado-Rebolledo Giandomenico Palumbo Jiannis K. Pachos Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
description	Abstract Here, we analyse two Dirac fermion species in two spatial dimensions in the presence of general quartic contact interactions. By employing functional bosonisation techniques, we demonstrate that depending on the couplings of the fermion interactions the system can be effectively described by a rich variety of topologically massive gauge theories. Among these effective theories, we obtain an extended Chern–Simons theory with higher order derivatives as well as two coupled Chern–Simons theories. Our formalism allows for a general description of interacting fermions emerging, for example, at the gapped boundary of three-dimensional topological crystalline insulators.
format	article
author	Patricio Salgado-Rebolledo Giandomenico Palumbo Jiannis K. Pachos
author_facet	Patricio Salgado-Rebolledo Giandomenico Palumbo Jiannis K. Pachos
author_sort	Patricio Salgado-Rebolledo
title	Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
title_short	Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
title_full	Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
title_fullStr	Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
title_full_unstemmed	Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
title_sort	effective field theories for interacting boundaries of 3d topological crystalline insulators through bosonisation
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/90c598488fe34b4680d0ecb598bb082b
work_keys_str_mv	AT patriciosalgadorebolledo effectivefieldtheoriesforinteractingboundariesof3dtopologicalcrystallineinsulatorsthroughbosonisation AT giandomenicopalumbo effectivefieldtheoriesforinteractingboundariesof3dtopologicalcrystallineinsulatorsthroughbosonisation AT jianniskpachos effectivefieldtheoriesforinteractingboundariesof3dtopologicalcrystallineinsulatorsthroughbosonisation
_version_	1718393752017436672

Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation

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