Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models

Abstract We investigate the roles of symmetry and bulk-boundary correspondence in characterizing topological edge states in generalized Jackiw–Rebbi (JR) models. We show that time-reversal (T), charge-conjugation (C), parity (P), and discrete internal field rotation ( $$Z_n$$ Z n ) symmetries protec...

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Autores principales:	Chang-geun Oh, Sang-Hoon Han, Sangmo Cheon
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/1403800d83ac426d820d5f463a8d5ee1
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spelling	oai:doaj.org-article:1403800d83ac426d820d5f463a8d5ee12021-11-08T10:50:12ZSymmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models10.1038/s41598-021-01117-52045-2322https://doaj.org/article/1403800d83ac426d820d5f463a8d5ee12021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01117-5https://doaj.org/toc/2045-2322Abstract We investigate the roles of symmetry and bulk-boundary correspondence in characterizing topological edge states in generalized Jackiw–Rebbi (JR) models. We show that time-reversal (T), charge-conjugation (C), parity (P), and discrete internal field rotation ( $$Z_n$$ Z n ) symmetries protect and characterize the various types of edge states such as chiral and nonchiral solitons via bulk-boundary correspondence in the presence of the multiple vacua. As two representative models, we consider the JR model composed of a single fermion field having a complex mass and the generalized JR model with two massless but interacting fermion fields. The JR model shows nonchiral solitons with the $$Z_2$$ Z 2 rotation symmetry, whereas it shows chiral solitons with the broken $$Z_2$$ Z 2 rotation symmetry. In the generalized JR model, only nonchiral solitons can emerge with only $$Z_2$$ Z 2 rotation symmetry, whereas both chiral and nonchiral solitons can exist with enhanced $$Z_4$$ Z 4 rotation symmetry. Moreover, we find that the nonchiral solitons have C, P symmetries while the chiral solitons do not, which can be explained by the symmetry-invariant lines connecting degenerate vacua. Finally, we find the symmetry correspondence between multiply-degenerate global vacua and solitons such that T, C, P symmetries of a soliton inherit from global minima that are connected by the soliton, which provides a novel tool for the characterization of topological solitons.Chang-geun OhSang-Hoon HanSangmo CheonNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Chang-geun Oh Sang-Hoon Han Sangmo Cheon Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
description	Abstract We investigate the roles of symmetry and bulk-boundary correspondence in characterizing topological edge states in generalized Jackiw–Rebbi (JR) models. We show that time-reversal (T), charge-conjugation (C), parity (P), and discrete internal field rotation ( $$Z_n$$ Z n ) symmetries protect and characterize the various types of edge states such as chiral and nonchiral solitons via bulk-boundary correspondence in the presence of the multiple vacua. As two representative models, we consider the JR model composed of a single fermion field having a complex mass and the generalized JR model with two massless but interacting fermion fields. The JR model shows nonchiral solitons with the $$Z_2$$ Z 2 rotation symmetry, whereas it shows chiral solitons with the broken $$Z_2$$ Z 2 rotation symmetry. In the generalized JR model, only nonchiral solitons can emerge with only $$Z_2$$ Z 2 rotation symmetry, whereas both chiral and nonchiral solitons can exist with enhanced $$Z_4$$ Z 4 rotation symmetry. Moreover, we find that the nonchiral solitons have C, P symmetries while the chiral solitons do not, which can be explained by the symmetry-invariant lines connecting degenerate vacua. Finally, we find the symmetry correspondence between multiply-degenerate global vacua and solitons such that T, C, P symmetries of a soliton inherit from global minima that are connected by the soliton, which provides a novel tool for the characterization of topological solitons.
format	article
author	Chang-geun Oh Sang-Hoon Han Sangmo Cheon
author_facet	Chang-geun Oh Sang-Hoon Han Sangmo Cheon
author_sort	Chang-geun Oh
title	Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
title_short	Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
title_full	Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
title_fullStr	Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
title_full_unstemmed	Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
title_sort	symmetry-protected solitons and bulk-boundary correspondence in generalized jackiw–rebbi models
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/1403800d83ac426d820d5f463a8d5ee1
work_keys_str_mv	AT changgeunoh symmetryprotectedsolitonsandbulkboundarycorrespondenceingeneralizedjackiwrebbimodels AT sanghoonhan symmetryprotectedsolitonsandbulkboundarycorrespondenceingeneralizedjackiwrebbimodels AT sangmocheon symmetryprotectedsolitonsandbulkboundarycorrespondenceingeneralizedjackiwrebbimodels
_version_	1718442588750479360

Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models

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