Emergent Multi-Flavor at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1460926
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Published Article
- Journal Name:
- Physical Review X
- Additional Journal Information:
- Journal Name: Physical Review X Journal Volume: 8 Journal Issue: 3; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Lee, Jong Yeon, Wang, Chong, Zaletel, Michael P., Vishwanath, Ashvin, and He, Yin-Chen. Emergent Multi-Flavor QED 3 at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures. United States: N. p., 2018.
Web. doi:10.1103/PhysRevX.8.031015.
Lee, Jong Yeon, Wang, Chong, Zaletel, Michael P., Vishwanath, Ashvin, & He, Yin-Chen. Emergent Multi-Flavor QED 3 at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures. United States. https://doi.org/10.1103/PhysRevX.8.031015
Lee, Jong Yeon, Wang, Chong, Zaletel, Michael P., Vishwanath, Ashvin, and He, Yin-Chen. Thu .
"Emergent Multi-Flavor QED 3 at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures". United States. https://doi.org/10.1103/PhysRevX.8.031015.
@article{osti_1460926,
title = {Emergent Multi-Flavor QED 3 at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures},
author = {Lee, Jong Yeon and Wang, Chong and Zaletel, Michael P. and Vishwanath, Ashvin and He, Yin-Chen},
abstractNote = {},
doi = {10.1103/PhysRevX.8.031015},
journal = {Physical Review X},
number = 3,
volume = 8,
place = {United States},
year = {Thu Jul 19 00:00:00 EDT 2018},
month = {Thu Jul 19 00:00:00 EDT 2018}
}
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https://doi.org/10.1103/PhysRevX.8.031015
https://doi.org/10.1103/PhysRevX.8.031015
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Cited by: 17 works
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Works referenced in this record:
Is the Composite Fermion a Dirac Particle?
journal, September 2015
- Son, Dam Thanh
- Physical Review X, Vol. 5, Issue 3
New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance
journal, August 1980
- Klitzing, K. v.; Dorda, G.; Pepper, M.
- Physical Review Letters, Vol. 45, Issue 6
Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
journal, September 2014
- Gong, Shou-Shu; Zhu, Wei; Sheng, D. N.
- Scientific Reports, Vol. 4, Issue 1
Coulomb Interactions at Quantum Hall Critical Points of Systems in a Periodic Potential
journal, June 1998
- Ye, Jinwu; Sachdev, Subir
- Physical Review Letters, Vol. 80, Issue 24
Stability of spin liquids in two dimensions
journal, December 2004
- Hermele, Michael; Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 70, Issue 21
Competing orders, nonlinear sigma models, and topological terms in quantum magnets
journal, August 2006
- Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 74, Issue 6
Full momentum- and energy-resolved spectral function of a 2D electronic system
journal, November 2017
- Jang, Joonho; Yoo, Heun Mo; Pfeiffer, L. N.
- Science, Vol. 358, Issue 6365
Chiral Spin Liquid in a Frustrated Anisotropic Kagome Heisenberg Model
journal, April 2014
- He, Yin-Chen; Sheng, D. N.; Chen, Yan
- Physical Review Letters, Vol. 112, Issue 13
Equivalence of the resonating-valence-bond and fractional quantum Hall states
journal, November 1987
- Kalmeyer, V.; Laughlin, R. B.
- Physical Review Letters, Vol. 59, Issue 18
Theory of magnetotransport in two-dimensional electron systems subjected to weak two-dimensional superlattice potentials
journal, November 1992
- Pfannkuche, Daniela; Gerhardts, Rolf R.
- Physical Review B, Vol. 46, Issue 19
Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians
journal, June 2013
- Zaletel, Michael P.; Mong, Roger S. K.; Pollmann, Frank
- Physical Review Letters, Vol. 110, Issue 23
Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points
journal, June 2009
- Pollmann, Frank; Mukerjee, Subroto; Turner, Ari M.
- Physical Review Letters, Vol. 102, Issue 25
Transfer matrices and excitations with matrix product states
journal, May 2015
- Zauner, V.; Draxler, D.; Vanderstraeten, L.
- New Journal of Physics, Vol. 17, Issue 5
Emergent photons and transitions in the sigma model with hedgehog suppression
journal, August 2004
- Motrunich, Olexei I.; Vishwanath, Ashvin
- Physical Review B, Vol. 70, Issue 7
Topological Disorder Operators in Three-Dimensional Conformal Field Theory
journal, November 2002
- Borokhov, Vadim; Kapustin, Anton; Wu, Xinkai
- Journal of High Energy Physics, Vol. 2002, Issue 11
Non-Abelian fermionization and fractional quantum Hall transitions
journal, February 2018
- Hui, Aaron; Mulligan, Michael; Kim, Eun-Ah
- Physical Review B, Vol. 97, Issue 8
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
journal, October 2004
- Senthil, T.; Balents, Leon; Sachdev, Subir
- Physical Review B, Vol. 70, Issue 14
Theory of the half-filled Landau level
journal, March 1993
- Halperin, B. I.; Lee, Patrick A.; Read, Nicholas
- Physical Review B, Vol. 47, Issue 12
Quantum phase transitions between bosonic symmetry-protected topological phases in two dimensions: Emergent and anyon superfluid
journal, May 2014
- Lu, Yuan-Ming; Lee, Dung-Hai
- Physical Review B, Vol. 89, Issue 19
Towards bootstrapping QED3
journal, August 2016
- Chester, Shai M.; Pufu, Silviu S.
- Journal of High Energy Physics, Vol. 2016, Issue 8
Quasiparticle scattering interference in high-temperature superconductors
journal, January 2003
- Wang, Qiang-Hua; Lee, Dung-Hai
- Physical Review B, Vol. 67, Issue 2
Anomalous dimensions of scalar operators in QED3
journal, August 2016
- Chester, Shai M.; Pufu, Silviu S.
- Journal of High Energy Physics, Vol. 2016, Issue 8
Fractional quantum Hall effect and Chern-Simons gauge theories
journal, September 1991
- Lopez, Ana; Fradkin, Eduardo
- Physical Review B, Vol. 44, Issue 10
Fractional Chern Insulator
journal, December 2011
- Regnault, N.; Bernevig, B. Andrei
- Physical Review X, Vol. 1, Issue 2
Spontaneous chiral-symmetry breaking in three-dimensional QED
journal, June 1986
- Appelquist, Thomas W.; Bowick, Mark; Karabali, Dimitra
- Physical Review D, Vol. 33, Issue 12
Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
journal, August 2017
- Geraedts, S. D.; Repellin, C.; Wang, Chong
- Physical Review B, Vol. 96, Issue 7
Noncompact three-dimensional quantum electrodynamics with Nf=1 and Nf=4
journal, September 2004
- Hands, S.; Kogut, J.; Scorzato, L.
- Physical Review B, Vol. 70, Issue 10
Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
journal, October 2014
- Bauer, B.; Cincio, L.; Keller, B. P.
- Nature Communications, Vol. 5, Issue 1
Monopole quantum numbers in the staggered flux spin liquid
journal, July 2008
- Alicea, Jason
- Physical Review B, Vol. 78, Issue 3
Dynamic band-structure tuning of graphene moiré superlattices with pressure
journal, May 2018
- Yankowitz, Matthew; Jung, Jeil; Laksono, Evan
- Nature, Vol. 557, Issue 7705
Spin correlations in the algebraic spin liquid: Implications for high- superconductors
journal, October 2002
- Rantner, Walter; Wen, Xiao-Gang
- Physical Review B, Vol. 66, Issue 14
Fractional Quantum Hall States at Zero Magnetic Field
journal, June 2011
- Neupert, Titus; Santos, Luiz; Chamon, Claudio
- Physical Review Letters, Vol. 106, Issue 23
The density-matrix renormalization group in the age of matrix product states
journal, January 2011
- Schollwöck, Ulrich
- Annals of Physics, Vol. 326, Issue 1
Two-Dimensional Magnetotransport in the Extreme Quantum Limit
journal, May 1982
- Tsui, D. C.; Stormer, H. L.; Gossard, A. C.
- Physical Review Letters, Vol. 48, Issue 22
High-Temperature Fractional Quantum Hall States
journal, June 2011
- Tang, Evelyn; Mei, Jia-Wei; Wen, Xiao-Gang
- Physical Review Letters, Vol. 106, Issue 23
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983
- Laughlin, R. B.
- Physical Review Letters, Vol. 50, Issue 18
Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
journal, May 2007
- Ryu, S.; Mudry, C.; Furusaki, A.
- Physical Review B, Vol. 75, Issue 20
Quantum phase transition between integer quantum Hall states of bosons
journal, January 2013
- Grover, Tarun; Vishwanath, Ashvin
- Physical Review B, Vol. 87, Issue 4
Landau-level subband structure of electrons on a square lattice
journal, December 1983
- MacDonald, A. H.
- Physical Review B, Vol. 28, Issue 12
Algebraic spin liquid as the mother of many competing orders
journal, September 2005
- Hermele, Michael; Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 72, Issue 10
Self-dual quantum electrodynamics as boundary state of the three-dimensional bosonic topological insulator
journal, December 2015
- Xu, Cenke; You, Yi-Zhuang
- Physical Review B, Vol. 92, Issue 22
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982
- Thouless, D. J.; Kohmoto, M.; Nightingale, M. P.
- Physical Review Letters, Vol. 49, Issue 6
Critical Behavior in (2+1)-Dimensional QED
journal, June 1988
- Appelquist, Thomas; Nash, Daniel; Wijewardhana, L. C. R.
- Physical Review Letters, Vol. 60, Issue 25
Theory of the algebraic vortex liquid in an anisotropic spin- triangular antiferromagnet
journal, May 2006
- Alicea, Jason; Motrunich, Olexei I.; Fisher, Matthew P. A.
- Physical Review B, Vol. 73, Issue 17
Non-Abelian statistics in the fractional quantum Hall states
journal, February 1991
- Wen, X. G.
- Physical Review Letters, Vol. 66, Issue 6
Chiral spin states and superconductivity
journal, June 1989
- Wen, X. G.; Wilczek, Frank; Zee, A.
- Physical Review B, Vol. 39, Issue 16
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices
journal, May 2013
- Dean, C. R.; Wang, L.; Maher, P.
- Nature, Vol. 497, Issue 7451
Dirac structure, RVB, and Goldstone modes in the kagomé antiferromagnet
journal, December 2000
- Hastings, M. B.
- Physical Review B, Vol. 63, Issue 1
Deconfined Quantum Critical Points: Symmetries and Dualities
journal, September 2017
- Wang, Chong; Nahum, Adam; Metlitski, Max A.
- Physical Review X, Vol. 7, Issue 3
Cloning of Dirac fermions in graphene superlattices
journal, May 2013
- Ponomarenko, L. A.; Gorbachev, R. V.; Yu, G. L.
- Nature, Vol. 497, Issue 7451
The half-filled Landau level: The case for Dirac composite fermions
journal, April 2016
- Geraedts, S. D.; Zaletel, M. P.; Mong, R. S. K.
- Science, Vol. 352, Issue 6282
Projected-Wave-Function Study of the Spin- Heisenberg Model on the Kagomé Lattice
journal, March 2007
- Ran, Ying; Hermele, Michael; Lee, Patrick A.
- Physical Review Letters, Vol. 98, Issue 11
Characterization and stability of a fermionic fractional Chern insulator
journal, January 2015
- Grushin, Adolfo G.; Motruk, Johannes; Zaletel, Michael P.
- Physical Review B, Vol. 91, Issue 3
Comments on global symmetries, anomalies, and duality in (2 + 1)d
journal, April 2017
- Benini, Francesco; Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2017, Issue 4
Flux insertion, entanglement, and quantized responses
journal, October 2014
- Zaletel, Michael P.; Mong, Roger S. K.; Pollmann, Frank
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2014, Issue 10
Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
journal, June 2016
- Metlitski, Max A.; Vishwanath, Ashvin
- Physical Review B, Vol. 93, Issue 24
Properties of an algebraic spin liquid on the kagome lattice
journal, June 2008
- Hermele, Michael; Ran, Ying; Lee, Patrick A.
- Physical Review B, Vol. 77, Issue 22
Quantum Hall effect of interacting electrons in a periodic potential
journal, September 1997
- Pfannkuche, Daniela; MacDonald, A. H.
- Physical Review B, Vol. 56, Issue 12
A duality web in dimensions and condensed matter physics
journal, November 2016
- Seiberg, Nathan; Senthil, T.; Wang, Chong
- Annals of Physics, Vol. 374
Composite Fermion Theory for Bosonic Quantum Hall States on Lattices
journal, September 2009
- Möller, G.; Cooper, N. R.
- Physical Review Letters, Vol. 103, Issue 10
Infinite density matrix renormalization group for multicomponent quantum Hall systems
journal, January 2015
- Zaletel, Michael P.; Mong, Roger S. K.; Pollmann, Frank
- Physical Review B, Vol. 91, Issue 4
Level/rank duality and Chern-Simons-matter theories
journal, September 2016
- Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2016, Issue 9
Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure
journal, May 2013
- Hunt, B.; Sanchez-Yamagishi, J. D.; Young, A. F.
- Science, Vol. 340, Issue 6139
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988
- Haldane, F. D. M.
- Physical Review Letters, Vol. 61, Issue 18
Quantum electrodynamics in 2+1 dimensions with quenched disorder: Quantum critical states with interactions and disorder
journal, June 2017
- Thomson, Alex; Sachdev, Subir
- Physical Review B, Vol. 95, Issue 23
Erratum: Algebraic spin liquid as the mother of many competing orders [Phys. Rev. B 72 , 104404 (2005)]
journal, October 2007
- Hermele, Michael; Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 76, Issue 14
Phase structure of many-flavor
journal, August 2014
- Braun, Jens; Gies, Holger; Janssen, Lukas
- Physical Review D, Vol. 90, Issue 3
Entanglement Monotonicity and the Stability of Gauge Theories in Three Spacetime Dimensions
journal, April 2014
- Grover, Tarun
- Physical Review Letters, Vol. 112, Issue 15
Metallic phases from disordered (2+1)-dimensional quantum electrodynamics
journal, June 2017
- Goswami, Pallab; Goldman, Hart; Raghu, S.
- Physical Review B, Vol. 95, Issue 23
Fractional quantum Hall physics in topological flat bands
journal, November 2013
- Parameswaran, Siddharth A.; Roy, Rahul; Sondhi, Shivaji L.
- Comptes Rendus Physique, Vol. 14, Issue 9-10
The Tight-Binding and the Nearly-Free-Electron Approach to Lattice Electrons in External Magnetic Fields
journal, April 1969
- Langbein, Dieter
- Physical Review, Vol. 180, Issue 3
Signatures of Dirac Cones in a DMRG Study of the Kagome Heisenberg Model
journal, July 2017
- He, Yin-Chen; Zaletel, Michael P.; Oshikawa, Masaki
- Physical Review X, Vol. 7, Issue 3
Particle-Vortex Duality from 3D Bosonization
journal, September 2016
- Karch, Andreas; Tong, David
- Physical Review X, Vol. 6, Issue 3
Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989
- Jain, J. K.
- Physical Review Letters, Vol. 63, Issue 2
Scale invariance of parity-invariant three-dimensional QED
journal, September 2016
- Karthik, Nikhil; Narayanan, Rajamani
- Physical Review D, Vol. 94, Issue 6
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
journal, September 1976
- Hofstadter, Douglas R.
- Physical Review B, Vol. 14, Issue 6
Global phase diagram in the quantum Hall effect
journal, July 1992
- Kivelson, Steven; Lee, Dung-Hai; Zhang, Shou-Cheng
- Physical Review B, Vol. 46, Issue 4
Non-compact QED3 with Nf⩾2
journal, November 2002
- Hands, S. J.; Kogut, J. B.; Strouthos, C. G.
- Nuclear Physics B, Vol. 645, Issue 1-2
Quantum Phase Transitions
book, December 2007
- Sachdev, Subir
- Handbook of Magnetism and Advanced Magnetic Materials
Fractional quantum Hall effect in the absence of Landau levels
journal, July 2011
- Sheng, D. N.; Gu, Zheng-Cheng; Sun, Kai
- Nature Communications, Vol. 2, Issue 1
Scaling theory of the fractional quantum Hall effect
journal, March 1990
- Jain, J. K.; Kivelson, S. A.; Trivedi, Nandini
- Physical Review Letters, Vol. 64, Issue 11
Transitions between the quantum Hall states and insulators induced by periodic potentials
journal, March 1993
- Wen, Xiao-Gang; Wu, Yong-Shi
- Physical Review Letters, Vol. 70, Issue 10
Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number
journal, September 2015
- Möller, Gunnar; Cooper, Nigel R.
- Physical Review Letters, Vol. 115, Issue 12
Quantised Hall effect in a two-dimensional periodic potential
journal, December 1982
- Streda, P.
- Journal of Physics C: Solid State Physics, Vol. 15, Issue 36