Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality

Zeng, Tian-Sheng; Sheng, D. N.; Zhu, W.

doi:10.1103/PhysRevB.101.035138

Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality

Journal Article · Wed Jan 22 23:00:00 EST 2020 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.101.035138· OSTI ID:1594983

^[1]; Sheng, D. N. ^[2]; Zhu, W. ^[3]

Westlake Univ., Hangzhou (China); California State Univercity, Northridge
California State Univ., Northridge, CA (United States)
Westlake Univ., Hangzhou (China)

The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist, in principle, in the phase transitions involving a symmetry-protected topological phase; however, examples of such kinds of transitions in physical systems are rare beyond one-dimensional systems. Here, using a density-matrix renormalization-group calculation, we unveil a bosonic integer quantum Hall phase in a two-dimensional correlated honeycomb lattice, by full identification of its internal structure from the topological K matrix. Furthermore, we demonstrate that imbalanced periodic chemical potentials can destroy the bosonic integer quantum Hall state and drive it into a featureless trivial (Mott) insulator, where all physical observables evolve smoothly across the critical point. At the critical point, the entanglement entropy reveals a characteristic scaling behavior, which is consistent with the critical field theory as an emergent QED3 with two flavors of Dirac fermions.

View Accepted Manuscript (DOE)

Research Organization:: California State Univ., Northridge, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 1594983

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 3 Vol. 101; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (70)

Exact realization of integer and fractional quantum Hall phases in models in Geraedts, Scott D.; Motrunich, Olexei I. Annals of Physics, Vol. 334 https://doi.org/10.1016/j.aop.2013.03.017	journal	July 2013
Critical theories of phase transition between symmetry protected topological states and their relation to the gapless boundary theories Chen, Xie; Wang, Fa; Lu, Yuan-Ming Nuclear Physics B, Vol. 873, Issue 1 https://doi.org/10.1016/j.nuclphysb.2013.04.015	journal	August 2013
The phase transitions between Z n × Z n bosonic topological phases in 1 + 1D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases Tsui, Lokman; Huang, Yen-Ta; Jiang, Hong-Chen Nuclear Physics B, Vol. 919 https://doi.org/10.1016/j.nuclphysb.2017.03.021	journal	June 2017
Duality between ( 2 + 1 ) d quantum critical points Senthil, T.; Son, Dam Thanh; Wang, Chong Physics Reports, Vol. 827 https://doi.org/10.1016/j.physrep.2019.09.001	journal	September 2019
Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model Gong, Shou-Shu; Zhu, Wei; Sheng, D. N. Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep06317	journal	September 2014
Entanglement entropy and conformal field theory Calabrese, Pasquale; Cardy, John Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50 https://doi.org/10.1088/1751-8113/42/50/504005	journal	December 2009
Topological characterization of hierarchical fractional quantum Hall effects in topological flat bands with SU( N ) symmetry Zeng, Tian-Sheng; Sheng, D. N.; Zhu, W. Physical Review B, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevB.100.075106	journal	August 2019
Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains den Nijs, Marcel; Rommelse, Koos Physical Review B, Vol. 40, Issue 7 https://doi.org/10.1103/PhysRevB.40.4709	journal	September 1989
Mott transition in an anyon gas Chen, Wei; Fisher, Matthew P. A.; Wu, Yong-Shi Physical Review B, Vol. 48, Issue 18 https://doi.org/10.1103/PhysRevB.48.13749	journal	November 1993
Fractional quantum Hall effect in a periodic potential Kol, A.; Read, N. Physical Review B, Vol. 48, Issue 12 https://doi.org/10.1103/PhysRevB.48.8890	journal	September 1993
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm Senthil, T.; Balents, Leon; Sachdev, Subir Physical Review B, Vol. 70, Issue 14 https://doi.org/10.1103/PhysRevB.70.144407	journal	October 2004
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order Gu, Zheng-Cheng; Wen, Xiao-Gang Physical Review B, Vol. 80, Issue 15 https://doi.org/10.1103/PhysRevB.80.155131	journal	October 2009
Entanglement spectrum of a topological phase in one dimension Pollmann, Frank; Turner, Ari M.; Berg, Erez Physical Review B, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevB.81.064439	journal	February 2010
Gapped quantum phases for the S = 1 spin chain with D 2 h symmetry Liu, Zheng-Xin; Liu, Min; Wen, Xiao-Gang Physical Review B, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevB.84.075135	journal	August 2011
Classifying quantum phases using matrix product states and projected entangled pair states Schuch, Norbert; Pérez-García, David; Cirac, Ignacio Physical Review B, Vol. 84, Issue 16 https://doi.org/10.1103/PhysRevB.84.165139	journal	October 2011
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach Lu, Yuan-Ming; Vishwanath, Ashvin Physical Review B, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevB.86.125119	journal	September 2012
Quantum phase transition between integer quantum Hall states of bosons Grover, Tarun; Vishwanath, Ashvin Physical Review B, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevB.87.045129	journal	January 2013
Symmetry protected topological orders and the group cohomology of their symmetry group Chen, Xie; Gu, Zheng-Cheng; Liu, Zheng-Xin Physical Review B, Vol. 87, Issue 15 https://doi.org/10.1103/PhysRevB.87.155114	journal	April 2013
Wave functions of bosonic symmetry protected topological phases Xu, Cenke; Senthil, T. Physical Review B, Vol. 87, Issue 17 https://doi.org/10.1103/PhysRevB.87.174412	journal	May 2013
Quantum Hall effect of two-component bosons at fractional and integral fillings Wu, Ying-Hai; Jain, Jainendra K. Physical Review B, Vol. 87, Issue 24 https://doi.org/10.1103/PhysRevB.87.245123	journal	June 2013
Microscopic model for the boson integer quantum Hall effect Regnault, N.; Senthil, T. Physical Review B, Vol. 88, Issue 16 https://doi.org/10.1103/PhysRevB.88.161106	journal	October 2013
Quantum phase transitions between bosonic symmetry-protected topological phases in two dimensions: Emergent QED 3 and anyon superfluid Lu, Yuan-Ming; Lee, Dung-Hai Physical Review B, Vol. 89, Issue 19 https://doi.org/10.1103/PhysRevB.89.195143	journal	May 2014
Numerical study of a transition between Z 2 topologically ordered phases Morampudi, Siddhardh C.; von Keyserlingk, Curt; Pollmann, Frank Physical Review B, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevB.90.035117	journal	July 2014
Bosonic integer quantum Hall states in topological bands with Chern number two Zeng, Tian-Sheng; Zhu, W.; Sheng, D. N. Physical Review B, Vol. 93, Issue 19 https://doi.org/10.1103/PhysRevB.93.195121	journal	May 2016
Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states Fuji, Yohei; He, Yin-Chen; Bhattacharjee, Subhro Physical Review B, Vol. 93, Issue 19 https://doi.org/10.1103/PhysRevB.93.195143	journal	May 2016
Two-component quantum Hall effects in topological flat bands Zeng, Tian-Sheng; Zhu, W.; Sheng, D. N. Physical Review B, Vol. 95, Issue 12 https://doi.org/10.1103/PhysRevB.95.125134	journal	March 2017
Lattice realization of a bosonic integer quantum Hall state–trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model Geraedts, Scott; Motrunich, Olexei I. Physical Review B, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevB.96.115137	journal	September 2017
One-dimensional symmetry protected topological phases and their transitions Verresen, Ruben; Moessner, Roderich; Pollmann, Frank Physical Review B, Vol. 96, Issue 16 https://doi.org/10.1103/PhysRevB.96.165124	journal	October 2017
SU ( N ) fractional quantum Hall effect in topological flat bands Zeng, Tian-Sheng; Sheng, D. N. Physical Review B, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevB.97.035151	journal	January 2018
Integer Quantum Hall Effect for Bosons Senthil, T.; Levin, Michael Physical Review Letters, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRevLett.110.046801	journal	January 2013
Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder Cincio, L.; Vidal, G. Physical Review Letters, Vol. 110, Issue 6 https://doi.org/10.1103/PhysRevLett.110.067208	journal	February 2013
Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic Magnetic Field Furukawa, Shunsuke; Ueda, Masahito Physical Review Letters, Vol. 111, Issue 9 https://doi.org/10.1103/PhysRevLett.111.090401	journal	August 2013
Bosonic Integer Quantum Hall Effect in Optical Flux Lattices Sterdyniak, A.; Cooper, Nigel R.; Regnault, N. Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.116802	journal	September 2015
Bosonic Integer Quantum Hall Effect in an Interacting Lattice Model He, Yin-Chen; Bhattacharjee, Subhro; Moessner, R. Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.116803	journal	September 2015
Realizing All s o ( N ) 1 Quantum Criticalities in Symmetry Protected Cluster Models Lahtinen, Ville; Ardonne, Eddy Physical Review Letters, Vol. 115, Issue 23 https://doi.org/10.1103/PhysRevLett.115.237203	journal	December 2015
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State Haldane, F. D. M. Physical Review Letters, Vol. 50, Issue 15 https://doi.org/10.1103/PhysRevLett.50.1153	journal	April 1983
Density matrix formulation for quantum renormalization groups White, Steven R. Physical Review Letters, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevLett.69.2863	journal	November 1992
Transitions between the quantum Hall states and insulators induced by periodic potentials Wen, Xiao-Gang; Wu, Yong-Shi Physical Review Letters, Vol. 70, Issue 10 https://doi.org/10.1103/PhysRevLett.70.1501	journal	March 1993
Phase Diagram for Quantum Hall Bilayers at ν = 1 Sheng, D. N.; Balents, Leon; Wang, Ziqiang Physical Review Letters, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevLett.91.116802	journal	September 2003
Z2 Topological Order and the Quantum Spin Hall Effect Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 14, Article No. 146802 https://doi.org/10.1103/PhysRevLett.95.146802	journal	September 2005
Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers Sheng, D. N.; Weng, Z. Y.; Sheng, L. Physical Review Letters, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevLett.97.036808	journal	July 2006
Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect Vishwanath, Ashvin; Senthil, T. Physical Review X, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevX.3.011016	journal	February 2013
Particle-Vortex Duality from 3D Bosonization Karch, Andreas; Tong, David Physical Review X, Vol. 6, Issue 3 https://doi.org/10.1103/PhysRevX.6.031043	journal	September 2016
Deconfined Quantum Critical Points: Symmetries and Dualities Wang, Chong; Nahum, Adam; Metlitski, Max A. Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevX.7.031051	journal	September 2017
Duality between the Deconfined Quantum-Critical Point and the Bosonic Topological Transition Qin, Yan Qi; He, Yuan-Yao; You, Yi-Zhuang Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevX.7.031052	journal	September 2017
Emergent Multi-Flavor QED 3 at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures Lee, Jong Yeon; Wang, Chong; Zaletel, Michael P. Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031015	journal	July 2018
Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Colloquium : Zoo of quantum-topological phases of matter Wen, Xiao-Gang Reviews of Modern Physics, Vol. 89, Issue 4 https://doi.org/10.1103/RevModPhys.89.041004	journal	December 2017
Deconfined Quantum Critical Points Senthil, T. Science, Vol. 303, Issue 5663 https://doi.org/10.1126/science.1091806	journal	March 2004
Symmetry-Protected Topological Orders in Interacting Bosonic Systems Chen, X.; Gu, Z. -C.; Liu, Z. -X. Science, Vol. 338, Issue 6114 https://doi.org/10.1126/science.1227224	journal	December 2012
The half-filled Landau level: The case for Dirac composite fermions Geraedts, S. D.; Zaletel, M. P.; Mong, R. S. K. Science, Vol. 352, Issue 6282 https://doi.org/10.1126/science.aad4302	journal	April 2016
Symmetry-Protected Topological Phases of Quantum Matter Senthil, T. Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031214-014740	journal	March 2015
Bosonic integer quantum Hall effect in optical flux lattices. Sterdyniak, A.; Cooper, Nigel; Regnault, N. Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.21549	text	January 2015
Particle-Vortex Duality from 3D Bosonization Karch, Andreas; Tong, David Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.6036	text	January 2016
Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order Gu, Zheng-Cheng; Wen, Xiao-Gang arXiv https://doi.org/10.48550/arxiv.0903.1069	text	January 2009
Symmetry protected topological orders and the group cohomology of their symmetry group Chen, Xie; Gu, Zheng-Cheng; Liu, Zheng-Xin arXiv https://doi.org/10.48550/arxiv.1106.4772	text	January 2011
Characterizing topological order by studying the ground states of an infinite cylinder Cincio, Lukasz; Vidal, Guifre arXiv https://doi.org/10.48550/arxiv.1208.2623	text	January 2012
Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect Vishwanath, Ashvin; Senthil, T. arXiv https://doi.org/10.48550/arxiv.1209.3058	text	January 2012
Quantum Phase Transition between Integer Quantum Hall States of Bosons Grover, Tarun; Vishwanath, Ashvin arXiv https://doi.org/10.48550/arxiv.1210.0907	text	January 2012
Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings Wu, Ying-Hai; Jain, Jainendra K. arXiv https://doi.org/10.48550/arxiv.1304.7553	text	January 2013
Microscopic model for the boson integer quantum Hall effect Regnault, N.; Senthil, T. arXiv https://doi.org/10.48550/arxiv.1305.0298	text	January 2013
Numerical study of a transition between Z2 topologically ordered phases Morampudi, Siddhardh C.; von Keyserlingk, Curt; Pollmann, Frank arXiv https://doi.org/10.48550/arxiv.1403.0768	text	January 2014
The half-filled Landau level: the case for Dirac composite fermions Geraedts, Scott D.; Zaletel, Michael P.; Mong, Roger S. K. arXiv https://doi.org/10.48550/arxiv.1508.04140	text	January 2015
Bosonic integer quantum Hall states in topological bands with Chern number two Zeng, Tian-Sheng; Zhu, W.; Sheng, D. N. arXiv https://doi.org/10.48550/arxiv.1602.02438	text	January 2016
The phase transitions between $Z_n\times Z_n$ bosonic topological phases in 1+1 D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases Tsui, Lokman; Huang, Yen-Ta; Jiang, Hong-Chen arXiv https://doi.org/10.48550/arxiv.1701.00834	text	January 2017
Duality between the deconfined quantum-critical point and the bosonic topological transition Qin, Yan Qi; He, Yuan-Yao; You, Yi-Zhuang arXiv https://doi.org/10.48550/arxiv.1705.10670	text	January 2017
One-Dimensional Symmetry Protected Topological Phases and their Transitions Verresen, Ruben; Moessner, Roderich; Pollmann, Frank arXiv https://doi.org/10.48550/arxiv.1707.05787	text	January 2017
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm Senthil, T.; Balents, Leon; Sachdev, Subir arXiv https://doi.org/10.48550/arxiv.cond-mat/0312617	text	January 2003
Quantum Spin Hall Effect and Topologically Invariant Chern Numbers Sheng, D. N.; Weng, Z. Y.; Sheng, L. arXiv https://doi.org/10.48550/arxiv.cond-mat/0603054	text	January 2006
Mott Transition in An Anyon Gas Chen, Wei; Fisher, Matthew P. A.; Wu, Yong-Shi arXiv https://doi.org/10.48550/arxiv.cond-mat/9301037	text	January 1993

Similar Records

Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice

Journal Article · Tue Aug 23 00:00:00 EDT 2016 · Physical Review Letters · OSTI ID:1505728

Striped Supersolid Phase and the Search for Deconfined Quantum Criticality in Hard-Core Bosons on the Triangular Lattice

Journal Article · Sat Dec 31 23:00:00 EST 2005 · Physical Review B · OSTI ID:930887

Two-component quantum Hall effects in topological flat bands

Journal Article · Mon Mar 27 00:00:00 EDT 2017 · Physical Review B · OSTI ID:1415368

Related Subjects

36 MATERIALS SCIENCE
Dirac fermions
QED3
bosonic integer quantum Hall
deconfined quantum criticality
topological K matrix

Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality

Citation Formats

References (70)

Similar Records

Related Subjects