Multi-critical topological transition at quantum criticality

Abstract The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin interaction in one dimension and observe a topological tr...

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Autores principales:	Ranjith R. Kumar, Y. R. Kartik, S. Rahul, Sujit Sarkar
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6473c9ef62724ad3970a6f1c55e2a645
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spelling	oai:doaj.org-article:6473c9ef62724ad3970a6f1c55e2a6452021-12-02T14:01:20ZMulti-critical topological transition at quantum criticality10.1038/s41598-020-80337-72045-2322https://doaj.org/article/6473c9ef62724ad3970a6f1c55e2a6452021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-80337-7https://doaj.org/toc/2045-2322Abstract The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin interaction in one dimension and observe a topological transition between gapless phases on one of the critical lines of this model. We study the distinct nature of these gapless phases and show that they belong to different universality classes. The topological invariant number (winding number) characterize different topological phases for the different regime of parameter space. We observe the evidence of two multi-critical points, one is topologically trivial and the other one is topologically active. Topological quantum phase transition between the gapless phases on the critical line occurs through the non-trivial multi-critical point in the Lifshitz universality class. We calculate and analyze the behavior of Wannier state correlation function close to the multi-critical point and confirm the topological transition between gapless phases. We show the breakdown of Lorentz invariance at this multi-critical point through the energy dispersion analysis. We also show that the scaling theories and curvature function renormalization group can also be effectively used to understand the topological quantum phase transitions between gapless phases. The model Hamiltonian which we study is more applicable for the system with gapless excitations, where the conventional concept of topological quantum phase transition fails.Ranjith R. KumarY. R. KartikS. RahulSujit SarkarNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ranjith R. Kumar Y. R. Kartik S. Rahul Sujit Sarkar Multi-critical topological transition at quantum criticality
description	Abstract The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin interaction in one dimension and observe a topological transition between gapless phases on one of the critical lines of this model. We study the distinct nature of these gapless phases and show that they belong to different universality classes. The topological invariant number (winding number) characterize different topological phases for the different regime of parameter space. We observe the evidence of two multi-critical points, one is topologically trivial and the other one is topologically active. Topological quantum phase transition between the gapless phases on the critical line occurs through the non-trivial multi-critical point in the Lifshitz universality class. We calculate and analyze the behavior of Wannier state correlation function close to the multi-critical point and confirm the topological transition between gapless phases. We show the breakdown of Lorentz invariance at this multi-critical point through the energy dispersion analysis. We also show that the scaling theories and curvature function renormalization group can also be effectively used to understand the topological quantum phase transitions between gapless phases. The model Hamiltonian which we study is more applicable for the system with gapless excitations, where the conventional concept of topological quantum phase transition fails.
format	article
author	Ranjith R. Kumar Y. R. Kartik S. Rahul Sujit Sarkar
author_facet	Ranjith R. Kumar Y. R. Kartik S. Rahul Sujit Sarkar
author_sort	Ranjith R. Kumar
title	Multi-critical topological transition at quantum criticality
title_short	Multi-critical topological transition at quantum criticality
title_full	Multi-critical topological transition at quantum criticality
title_fullStr	Multi-critical topological transition at quantum criticality
title_full_unstemmed	Multi-critical topological transition at quantum criticality
title_sort	multi-critical topological transition at quantum criticality
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/6473c9ef62724ad3970a6f1c55e2a645
work_keys_str_mv	AT ranjithrkumar multicriticaltopologicaltransitionatquantumcriticality AT yrkartik multicriticaltopologicaltransitionatquantumcriticality AT srahul multicriticaltopologicaltransitionatquantumcriticality AT sujitsarkar multicriticaltopologicaltransitionatquantumcriticality
_version_	1718392203377639424

Multi-critical topological transition at quantum criticality

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