Salgado-Rebolledo, P, Palumbo, G and Pachos, JK orcid.org/0000-0002-9775-4436 (2020) Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation. Scientific Reports, 10 (1). 21998. ISSN 2045-2322
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2020. Tis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. Te images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/R020612/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Jan 2021 16:22 |
Last Modified: | 25 Jun 2023 22:32 |
Status: | Published |
Publisher: | Nature Research |
Identification Number: | 10.1038/s41598-020-77966-3 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:169482 |