A generic phase between disordered Weyl semimetal and diffusive metal

Abstract Quantum phase transitions of three-dimensional (3D) Weyl semimetals (WSMs) subject to uncorrelated on-site disorder are investigated through quantum conductance calculations and finite-size scaling of localization length. Contrary to previous claims that a direct transition from a WSM to a...

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Main Authors: Ying Su, X. S. Wang, X. R. Wang
Format: Article
Language:English
Published: Nature Portfolio 2017-10-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-017-14760-8
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author Ying Su
X. S. Wang
X. R. Wang
author_facet Ying Su
X. S. Wang
X. R. Wang
author_sort Ying Su
collection DOAJ
description Abstract Quantum phase transitions of three-dimensional (3D) Weyl semimetals (WSMs) subject to uncorrelated on-site disorder are investigated through quantum conductance calculations and finite-size scaling of localization length. Contrary to previous claims that a direct transition from a WSM to a diffusive metal (DM) occurs, an intermediate phase of Chern insulator (CI) between the two distinct metallic phases should exist due to internode scattering that is comparable to intranode scattering. The critical exponent of localization length is ν $$\,\simeq $$ ≃  1.3 for both the WSM-CI and CI-DM transitions, in the same universality class of 3D Gaussian unitary ensemble of the Anderson localization transition. The CI phase is confirmed by quantized nonzero Hall conductances in the bulk insulating phase established by localization length calculations. The disorder-induced various plateau-plateau transitions in both the WSM and CI phases are observed and explained by the self-consistent Born approximation. Furthermore, we clarify that the occurrence of zero density of states at Weyl nodes is not a good criterion for the disordered WSM, and there is no fundamental principle to support the hypothesis of divergence of localization length at the WSM-DM transition.
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spelling doaj.art-e80afe7e6f1a4773946cca5000ec0ae02022-12-21T21:19:41ZengNature PortfolioScientific Reports2045-23222017-10-017111010.1038/s41598-017-14760-8A generic phase between disordered Weyl semimetal and diffusive metalYing Su0X. S. Wang1X. R. Wang2Physics Department, The Hong Kong University of Science and TechnologyPhysics Department, The Hong Kong University of Science and TechnologyPhysics Department, The Hong Kong University of Science and TechnologyAbstract Quantum phase transitions of three-dimensional (3D) Weyl semimetals (WSMs) subject to uncorrelated on-site disorder are investigated through quantum conductance calculations and finite-size scaling of localization length. Contrary to previous claims that a direct transition from a WSM to a diffusive metal (DM) occurs, an intermediate phase of Chern insulator (CI) between the two distinct metallic phases should exist due to internode scattering that is comparable to intranode scattering. The critical exponent of localization length is ν $$\,\simeq $$ ≃  1.3 for both the WSM-CI and CI-DM transitions, in the same universality class of 3D Gaussian unitary ensemble of the Anderson localization transition. The CI phase is confirmed by quantized nonzero Hall conductances in the bulk insulating phase established by localization length calculations. The disorder-induced various plateau-plateau transitions in both the WSM and CI phases are observed and explained by the self-consistent Born approximation. Furthermore, we clarify that the occurrence of zero density of states at Weyl nodes is not a good criterion for the disordered WSM, and there is no fundamental principle to support the hypothesis of divergence of localization length at the WSM-DM transition.https://doi.org/10.1038/s41598-017-14760-8
spellingShingle Ying Su
X. S. Wang
X. R. Wang
A generic phase between disordered Weyl semimetal and diffusive metal
Scientific Reports
title A generic phase between disordered Weyl semimetal and diffusive metal
title_full A generic phase between disordered Weyl semimetal and diffusive metal
title_fullStr A generic phase between disordered Weyl semimetal and diffusive metal
title_full_unstemmed A generic phase between disordered Weyl semimetal and diffusive metal
title_short A generic phase between disordered Weyl semimetal and diffusive metal
title_sort generic phase between disordered weyl semimetal and diffusive metal
url https://doi.org/10.1038/s41598-017-14760-8
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AT xswang genericphasebetweendisorderedweylsemimetalanddiffusivemetal
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