Tuning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems
Abstract
Interaction-driven topological phases significantly enrich the class of topological materials and thus are of great importance. Here in this paper, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard lattice with a quadratic band touching (QBT) point. By developing new diagnosis based on the state-of-the-art density-matrix renormalization group and exact diagonalization, we determine accurate quantum phase diagram for such a system at half-filling with three distinct phases. For weak nearest-neighboring interactions, we demonstrate the instability of the QBT towards an interaction-driven spontaneous quantum anomalous Hall (QAH) effect. For strong interactions, the system breaks the rotational symmetry realizing a nematic charge-density-wave (CDW) phase. Interestingly, for intermediate interactions we discover a symmetry-broken bond-ordered critical phase sandwiched in between the QAH and CDW phases, which splits the QBT into two Dirac points driven by interaction. Instead of the direct transition between QAH and CDW phases, our identification of an intermediate phase sheds new light on the theoretical understanding of the interaction-driven phases in QBT systems.
- Authors:
-
[1];
[2];
- Univ. of Texas at Dallas, Richardson, TX (United States). Dept. of Physics
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Westlake Inst. for Advanced Study, Hangzhou (China)
- California State Univ. (CalState), Northridge, CA (United States). Dept. of Physics and Astronomy
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES); US Army Research Office (ARO)
- OSTI Identifier:
- 1483527
- Report Number(s):
- LA-UR-18-23297
Journal ID: ISSN 2397-4648
- Grant/Contract Number:
- FG02-06ER46305
- Resource Type:
- Accepted Manuscript
- Journal Name:
- npj Quantum Materials
- Additional Journal Information:
- Journal Volume: 3; Journal Issue: 1; Journal ID: ISSN 2397-4648
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Material Science
Citation Formats
Zeng, Tian-Sheng, Zhu, Wei, and Sheng, Donna. Tuning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems. United States: N. p., 2018.
Web. doi:10.1038/s41535-018-0120-5.
Zeng, Tian-Sheng, Zhu, Wei, & Sheng, Donna. Tuning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems. United States. https://doi.org/10.1038/s41535-018-0120-5
Zeng, Tian-Sheng, Zhu, Wei, and Sheng, Donna. Fri .
"Tuning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems". United States. https://doi.org/10.1038/s41535-018-0120-5. https://www.osti.gov/servlets/purl/1483527.
@article{osti_1483527,
title = {Tuning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems},
author = {Zeng, Tian-Sheng and Zhu, Wei and Sheng, Donna},
abstractNote = {Interaction-driven topological phases significantly enrich the class of topological materials and thus are of great importance. Here in this paper, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard lattice with a quadratic band touching (QBT) point. By developing new diagnosis based on the state-of-the-art density-matrix renormalization group and exact diagonalization, we determine accurate quantum phase diagram for such a system at half-filling with three distinct phases. For weak nearest-neighboring interactions, we demonstrate the instability of the QBT towards an interaction-driven spontaneous quantum anomalous Hall (QAH) effect. For strong interactions, the system breaks the rotational symmetry realizing a nematic charge-density-wave (CDW) phase. Interestingly, for intermediate interactions we discover a symmetry-broken bond-ordered critical phase sandwiched in between the QAH and CDW phases, which splits the QBT into two Dirac points driven by interaction. Instead of the direct transition between QAH and CDW phases, our identification of an intermediate phase sheds new light on the theoretical understanding of the interaction-driven phases in QBT systems.},
doi = {10.1038/s41535-018-0120-5},
journal = {npj Quantum Materials},
number = 1,
volume = 3,
place = {United States},
year = {Fri Sep 21 00:00:00 EDT 2018},
month = {Fri Sep 21 00:00:00 EDT 2018}
}
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Figures / Tables:
Fig. 1: Phase diagram of spinless fermion at half-filling in the topologically trivial checkerboard lattice with a QBT point, as the nearest-neighboring interaction V increases. The two sublattice sites A, B are labeled by blue and red colors, respectively. Please see the main text for the definition of order parameters
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Works referenced in this record:
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
Topological semimetal in a fermionic optical lattice
journal, November 2011
- Sun, Kai; Liu, W. Vincent; Hemmerich, Andreas
- Nature Physics, Vol. 8, Issue 1
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
journal, March 2013
- Chang, C. -Z.; Zhang, J.; Feng, X.
- Science, Vol. 340, Issue 6129
Experimental realization of the topological Haldane model with ultracold fermions
journal, November 2014
- Jotzu, Gregor; Messer, Michael; Desbuquois, Rémi
- Nature, Vol. 515, Issue 7526
Interaction-driven topological and nematic phases on the Lieb lattice
journal, May 2015
- Tsai, Wei-Feng; Fang, Chen; Yao, Hong
- New Journal of Physics, Vol. 17, Issue 5
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
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
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
Nearly Flatbands with Nontrivial Topology
journal, June 2011
- Sun, Kai; Gu, Zhengcheng; Katsura, Hosho
- Physical Review Letters, Vol. 106, Issue 23
High-Temperature Fractional Quantum Hall States
journal, June 2011
- Tang, Evelyn; Mei, Jia-Wei; Wen, Xiao-Gang
- Physical Review Letters, Vol. 106, Issue 23
Fractional Quantum Hall States at Zero Magnetic Field
journal, June 2011
- Neupert, Titus; Santos, Luiz; Chamon, Claudio
- Physical Review Letters, Vol. 106, Issue 23
Dynamic Generation of Spin-Orbit Coupling
journal, July 2004
- Wu, Congjun; Zhang, Shou-Cheng
- Physical Review Letters, Vol. 93, Issue 3
Topological Mott Insulators
journal, April 2008
- Raghu, S.; Qi, Xiao-Liang; Honerkamp, C.
- Physical Review Letters, Vol. 100, Issue 15
Fractional Chern insulators in bands with zero Berry curvature
journal, November 2015
- Simon, Steven H.; Harper, Fenner; Read, N.
- Physical Review B, Vol. 92, Issue 19
Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
journal, July 2016
- Zhu, W.; Gong, S. S.; Sheng, D. N.
- Physical Review B, Vol. 94, Issue 3
Symmetry breaking and the fermionic fractional Chern insulator in topologically trivial bands
journal, February 2018
- Kourtis, Stefanos
- Physical Review B, Vol. 97, Issue 8
Interaction-driven phases in the half-filled spinless honeycomb lattice from exact diagonalization
journal, December 2013
- García-Martínez, Noel A.; Grushin, Adolfo G.; Neupert, Titus
- Physical Review B, Vol. 88, Issue 24
Phases of correlated spinless fermions on the honeycomb lattice
journal, January 2014
- Daghofer, Maria; Hohenadler, Martin
- Physical Review B, Vol. 89, Issue 3
Interaction-driven phases in the half-filled honeycomb lattice: An infinite density matrix renormalization group study
journal, August 2015
- Motruk, Johannes; Grushin, Adolfo G.; de Juan, Fernando
- Physical Review B, Vol. 92, Issue 8
Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study
journal, August 2015
- Capponi, Sylvain; Läuchli, Andreas M.
- Physical Review B, Vol. 92, Issue 8
Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
journal, July 2009
- Sun, Kai; Yao, Hong; Fradkin, Eduardo
- Physical Review Letters, Vol. 103, Issue 4
Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
journal, August 2010
- Wen, Jun; Rüegg, Andreas; Wang, C. -C. Joseph
- Physical Review B, Vol. 82, Issue 7
Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
journal, April 2011
- Kurita, Moyuru; Yamaji, Youhei; Imada, Masatoshi
- Journal of the Physical Society of Japan, Vol. 80, Issue 4
Interaction-driven instabilities of a Dirac semimetal
journal, February 2010
- Weeks, C.; Franz, M.
- Physical Review B, Vol. 81, Issue 8
Topological insulators from complex orbital order in transition-metal oxides heterostructures
journal, November 2011
- Rüegg, Andreas; Fiete, Gregory A.
- Physical Review B, Vol. 84, Issue 20
Possible interaction-driven topological phases in (111) bilayers of LaNiO
journal, November 2011
- Yang, Kai-Yu; Zhu, Wenguang; Xiao, Di
- Physical Review B, Vol. 84, Issue 20
Quantum simulation of a topological Mott insulator with Rydberg atoms in a Lieb lattice
journal, April 2016
- Dauphin, A.; Müller, M.; Martin-Delgado, M. A.
- Physical Review A, Vol. 93, Issue 4
Quadratic band touching with long-range interactions in and out of equilibrium
journal, October 2016
- Dóra, Balázs; Herbut, Igor F.
- Physical Review B, Vol. 94, Issue 15
Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice
journal, January 2018
- Chen, Mengsu; Hui, Hoi-Yin; Tewari, Sumanta
- Physical Review B, Vol. 97, Issue 3
Instabilities of quadratic band crossing points
journal, November 2011
- Uebelacker, Stefan; Honerkamp, Carsten
- Physical Review B, Vol. 84, Issue 20
Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
journal, May 2014
- Murray, James M.; Vafek, Oskar
- Physical Review B, Vol. 89, Issue 20
Occurrence of nematic, topological, and Berry phases when a flat and a parabolic band touch
journal, July 2014
- Dóra, Balázs; Herbut, Igor F.; Moessner, Roderich
- Physical Review B, Vol. 90, Issue 4
Fate of interaction-driven topological insulators under disorder
journal, November 2017
- Wang, Jing; Ortix, Carmine; van den Brink, Jeroen
- Physical Review B, Vol. 96, Issue 20
Quantum anomalous Hall state in bilayer graphene
journal, September 2010
- Nandkishore, Rahul; Levitov, Leonid
- Physical Review B, Vol. 82, Issue 11
Interaction-Induced Dirac Fermions from Quadratic Band Touching in Bilayer Graphene
journal, August 2016
- Pujari, Sumiran; Lang, Thomas C.; Murthy, Ganpathy
- Physical Review Letters, Vol. 117, Issue 8
Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
journal, July 2015
- Kitamura, Sota; Tsuji, Naoto; Aoki, Hideo
- Physical Review Letters, Vol. 115, Issue 4
Interaction-driven quantum anomalous Hall effect in halogenated hematite nanosheets
journal, November 2017
- Liang, Qi-Feng; Zhou, Jian; Yu, Rui
- Physical Review B, Vol. 96, Issue 20
Diagnosis of Interaction-driven Topological Phase via Exact Diagonalization
journal, August 2016
- Wu, Han-Qing; He, Yuan-Yao; Fang, Chen
- Physical Review Letters, Vol. 117, Issue 6
Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice
journal, August 2016
- Zhu, W.; Gong, Shou-Shu; Zeng, Tian-Sheng
- Physical Review Letters, Vol. 117, Issue 9
Metal-Insulator Transition of Fermions on a Kagome Lattice at 1/3 Filling
journal, May 2010
- Nishimoto, Satoshi; Nakamura, Masaaki; O’Brien, Aroon
- Physical Review Letters, Vol. 104, Issue 19
Chiral topological phases in optical lattices without synthetic fields
journal, August 2018
- Hui, Hoi-Yin; Chen, Mengsu; Tewari, Sumanta
- Physical Review A, Vol. 98, Issue 2
Phase Diagram for Quantum Hall Bilayers at
journal, September 2003
- Sheng, D. N.; Balents, Leon; Wang, Ziqiang
- Physical Review Letters, Vol. 91, Issue 11
Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers
journal, July 2006
- Sheng, D. N.; Weng, Z. Y.; Sheng, L.
- Physical Review Letters, Vol. 97, Issue 3
Spin Bose-metal phase in a spin- model with ring exchange on a two-leg triangular strip
journal, May 2009
- Sheng, D. N.; Motrunich, Olexei I.; Fisher, Matthew P. A.
- Physical Review B, Vol. 79, Issue 20
Entanglement scaling in two-dimensional gapless systems
journal, April 2012
- Ju, Hyejin; Kallin, Ann B.; Fendley, Paul
- Physical Review B, Vol. 85, Issue 16
Scaling of entanglement in 2 + 1-dimensional scale-invariant field theories
journal, February 2015
- Chen, Xiao; Cho, Gil Young; Faulkner, Thomas
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2015, Issue 2
Entanglement signatures of quantum Hall phase transitions
journal, January 2009
- Zozulya, O. S.; Haque, Masudul; Regnault, Nicolas
- Physical Review B, Vol. 79, Issue 4
Two-component quantum Hall effects in topological flat bands
journal, March 2017
- Zeng, Tian-Sheng; Zhu, W.; Sheng, D. N.
- Physical Review B, Vol. 95, Issue 12
Quantum anomalous Hall insulator stabilized by competing interactions
journal, September 2018
- Sur, Shouvik; Gong, Shou-Shu; Yang, Kun
- Physical Review B, Vol. 98, Issue 12
Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
text, January 2009
- Sun, Kai; Yao, Hong; Fradkin, Eduardo
- arXiv
Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
text, January 2010
- Wen, Jun; Rüegg, Andreas; Wang, C. -C. Joseph
- arXiv
Quantum Anomalous Hall State in Bilayer Graphene
text, January 2010
- Nandkishore, Rahul; Levitov, Leonid
- arXiv
Topological semimetal in a fermionic optical lattice
text, January 2010
- Sun, Kai; Liu, W. Vincent; Hemmerich, Andreas
- arXiv
Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
text, January 2010
- Kurita, Moyuru; Yamaji, Youhei; Imada, Masatoshi
- arXiv
Nearly-flat bands with nontrivial topology
text, January 2010
- Sun, Kai; Gu, Zheng-Cheng; Katsura, Hosho
- arXiv
Fractional quantum Hall effect in the absence of Landau levels
text, January 2011
- Sheng, D. N.; Gu, Zheng-Cheng; Sun, Kai
- arXiv
Topological insulators from complex orbital order in transition-metal oxides heterostructures
text, January 2011
- Rüegg, Andreas; Fiete, Gregory A.
- arXiv
Entanglement scaling in two-dimensional gapless systems
text, January 2011
- Ju, Hyejin; Kallin, Ann B.; Fendley, Paul
- arXiv
Interaction-driven topological and nematic phases on the Lieb lattice
text, January 2011
- Tsai, Wei-Feng; Fang, Chen; Yao, Hong
- arXiv
Phases of correlated spinless fermions on the honeycomb lattice
text, January 2013
- Daghofer, Maria; Hohenadler, Martin
- arXiv
Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
text, January 2014
- Murray, James M.; Vafek, Oskar
- arXiv
Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
text, January 2014
- Kitamura, Sota; Tsuji, Naoto; Aoki, Hideo
- arXiv
Interaction driven phases in the half-filled honeycomb lattice: an infinite density matrix renormalization group study
text, January 2015
- Motruk, Johannes; Grushin, Adolfo G.; de Juan, Fernando
- arXiv
Diagnosis of interaction-driven topological phase via exact diagonalization
text, January 2016
- Wu, Han-Qing; He, Yuan-Yao; Fang, Chen
- arXiv
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
text, January 2016
- Chang, Cui-Zu; Zhang, Jinsong; Feng, Xiao
- arXiv
The fate of interaction-driven topological insulators under disorder
text, January 2017
- Wang, Jing; Ortix, Carmine; Brink, Jeroen van den
- arXiv
Chiral topological phases in optical lattices without synthetic fields
text, January 2017
- Hui, Hoi-Yin; Chen, Mengsu; Tewari, S.
- arXiv
Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
text, January 2006
- Sheng, D. N.; Weng, Z. Y.; Sheng, L.
- arXiv
Works referencing / citing this record:
Quantum critical behavior of two-dimensional Fermi systems with quadratic band touching
journal, December 2018
- Ray, Shouryya; Vojta, Matthias; Janssen, Lukas
- Physical Review B, Vol. 98, Issue 24
Symmetry-breaking topological insulators in the Bose-Hubbard model
journal, January 2019
- González-Cuadra, Daniel; Dauphin, Alexandre; Grzybowski, Przemysław R.
- Physical Review B, Vol. 99, Issue 4
Determining topological order from infinite projected entangled pair states
journal, January 2020
- Francuz, Anna; Dziarmaga, Jacek; Vidal, Guifre
- Physical Review B, Vol. 101, Issue 4
Determining topological order from infinite projected entangled pair states
text, January 2019
- Francuz, Anna; Dziarmaga, Jacek; Vidal, Guifre
- arXiv
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