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• W3098982174 abstract "Recent experiments in graphene heterostructures have observed Chern insulators—integer and fractional quantum Hall states made possible by a periodic substrate potential. Here, we study theoretically that the competition between different Chern insulators, which can be tuned by the amplitude of the periodic potential, leads to a new family of quantum critical points described by QED3-Chern-Simons theory. At these critical points, Nf flavors of Dirac fermions interact through an emergent U(1) gauge theory at Chern-Simons level K, and remarkably, the entire family (with any Nf or K) can be realized at special values of the external magnetic field. Transitions between particle-hole conjugate Jain states realize “pure” QED3, in which multiple flavors of Dirac fermions interact with a Maxwell U(1) gauge field. The multiflavor nature of the critical point leads to an emergent SU(Nf) symmetry. Specifically, at the transition from a ν=1/3 to 2/3 quantum Hall state, the emergent SU(3) symmetry predicts an octet of charge density waves with enhanced susceptibilities, which is verified by DMRG numerical simulations on microscopic models applicable to graphene heterostructures. We propose experiments on Chern insulators that could resolve open questions in the study of (2+1)-dimensional conformal field theories and test recent duality inspired conjectures.Received 15 March 2018Revised 26 May 2018DOI:https://doi.org/10.1103/PhysRevX.8.031015Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasChern-Simons gauge theoryComposite fermionsConformal field theoryDirac fermionsFractional quantum Hall effectGauge theoriesQuantum criticalityQuantum phase transitionsPhysical SystemsGrapheneTechniquesDensity matrix renormalization groupCondensed Matter, Materials & Applied PhysicsParticles & Fields" @default.
• W3098982174 created "2020-11-23" @default.
• W3098982174 creator A5003385467 @default.
• W3098982174 creator A5007803202 @default.
• W3098982174 creator A5009701496 @default.
• W3098982174 creator A5043780039 @default.
• W3098982174 creator A5062897696 @default.
• W3098982174 date "2018-07-19" @default.
• W3098982174 modified "2023-10-03" @default.
• W3098982174 title "Emergent Multi-Flavor <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi>QED</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures" @default.
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