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Article: Role of Noether’s Theorem at the Deconfined Quantum Critical Point

TitleRole of Noether’s Theorem at the Deconfined Quantum Critical Point
Authors
KeywordsFermi surface
Intelligent systems
Monte Carlo methods
Phase transitions
Issue Date2019
PublisherAmerican Physical Society. The Journal's web site is located at http://prl.aps.org
Citation
Physical Review Letters, 2019, v. 122 n. 17, p. article no. 175701:1-6 How to Cite?
AbstractNoether’s theorem is one of the fundamental laws of physics, relating continuous symmetries and conserved currents. Here we explore the role of Noether’s theorem at the deconfined quantum critical point (DQCP), which is a quantum phase transition beyond the Landau-Ginzburg-Wilson paradigm. It was expected that a larger continuous symmetry could emerge at the DQCP, which, if true, should lead to conserved current at low energy. By identifying the emergent current fluctuation in the spin excitation spectra, we can quantitatively study the current-current correlation in large-scale quantum Monte Carlo simulations. Our results reveal the conservation of the emergent current, as signified by the vanishing anomalous dimension of the current operator, and hence provide supporting evidence for the emergent symmetry at the DQCP. Our study demonstrates an elegant yet practical approach to detect emergent symmetry by probing the spin excitation, which could potentially guide the ongoing experimental search for the DQCP in quantum magnets.
Persistent Identifierhttp://hdl.handle.net/10722/271431
ISSN
2019 Impact Factor: 8.385
2015 SCImago Journal Rankings: 3.731

 

DC FieldValueLanguage
dc.contributor.authorMa, N-
dc.contributor.authorYou, YZ-
dc.contributor.authorMeng, ZY-
dc.date.accessioned2019-06-24T01:09:44Z-
dc.date.available2019-06-24T01:09:44Z-
dc.date.issued2019-
dc.identifier.citationPhysical Review Letters, 2019, v. 122 n. 17, p. article no. 175701:1-6-
dc.identifier.issn0031-9007-
dc.identifier.urihttp://hdl.handle.net/10722/271431-
dc.description.abstractNoether’s theorem is one of the fundamental laws of physics, relating continuous symmetries and conserved currents. Here we explore the role of Noether’s theorem at the deconfined quantum critical point (DQCP), which is a quantum phase transition beyond the Landau-Ginzburg-Wilson paradigm. It was expected that a larger continuous symmetry could emerge at the DQCP, which, if true, should lead to conserved current at low energy. By identifying the emergent current fluctuation in the spin excitation spectra, we can quantitatively study the current-current correlation in large-scale quantum Monte Carlo simulations. Our results reveal the conservation of the emergent current, as signified by the vanishing anomalous dimension of the current operator, and hence provide supporting evidence for the emergent symmetry at the DQCP. Our study demonstrates an elegant yet practical approach to detect emergent symmetry by probing the spin excitation, which could potentially guide the ongoing experimental search for the DQCP in quantum magnets.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prl.aps.org-
dc.relation.ispartofPhysical Review Letters-
dc.rightsPhysical Review Letters. Copyright © American Physical Society.-
dc.rightsCopyright [2019] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevLett.122.175701].-
dc.subjectFermi surface-
dc.subjectIntelligent systems-
dc.subjectMonte Carlo methods-
dc.subjectPhase transitions-
dc.titleRole of Noether’s Theorem at the Deconfined Quantum Critical Point-
dc.typeArticle-
dc.identifier.emailMeng, ZY: zymeng@hku.hk-
dc.identifier.authorityMeng, ZY=rp02524-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevLett.122.175701-
dc.identifier.pmid31107072-
dc.identifier.scopuseid_2-s2.0-85065789818-
dc.identifier.hkuros297935-
dc.identifier.volume122-
dc.identifier.issue17-
dc.identifier.spagearticle no. 175701:1-
dc.identifier.epage6-
dc.publisher.placeUnited States-

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