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Title: 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:
ORCiD logo [1]; ORCiD logo [2];  [3]
  1. Univ. of Texas at Dallas, Richardson, TX (United States). Dept. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Westlake Inst. for Advanced Study, Hangzhou (China)
  3. 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:
Journal Article: 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. doi: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. doi: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},
issn = {2397-4648},
number = 1,
volume = 3,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 13 works
Citation information provided by
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Figures / Tables:

Fig. 1 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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High-Temperature Fractional Quantum Hall States
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Fractional Quantum Hall States at Zero Magnetic Field
journal, June 2011


Dynamic Generation of Spin-Orbit Coupling
journal, July 2004


Topological Mott Insulators
journal, April 2008


Fractional Chern insulators in bands with zero Berry curvature
journal, November 2015


Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
journal, July 2016


Symmetry breaking and the fermionic fractional Chern insulator in topologically trivial bands
journal, February 2018


Interaction-driven phases in the half-filled spinless honeycomb lattice from exact diagonalization
journal, December 2013

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  • Physical Review B, Vol. 88, Issue 24
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Phases of correlated spinless fermions on the honeycomb lattice
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Interaction-driven phases in the half-filled honeycomb lattice: An infinite density matrix renormalization group study
journal, August 2015


Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study
journal, August 2015


Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
journal, July 2009


Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
journal, August 2010


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
  • DOI: 10.1143/JPSJ.80.044708

Interaction-driven instabilities of a Dirac semimetal
journal, February 2010


Topological insulators from complex orbital order in transition-metal oxides heterostructures
journal, November 2011


Possible interaction-driven topological phases in (111) bilayers of LaNiO 3
journal, November 2011


Quantum simulation of a topological Mott insulator with Rydberg atoms in a Lieb lattice
journal, April 2016


Quadratic band touching with long-range interactions in and out of equilibrium
journal, October 2016


Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice
journal, January 2018


Instabilities of quadratic band crossing points
journal, November 2011


Occurrence of nematic, topological, and Berry phases when a flat and a parabolic band touch
journal, July 2014


Fate of interaction-driven topological insulators under disorder
journal, November 2017


Quantum anomalous Hall state in bilayer graphene
journal, September 2010


Interaction-Induced Dirac Fermions from Quadratic Band Touching in Bilayer Graphene
journal, August 2016


Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
journal, July 2015


Interaction-driven quantum anomalous Hall effect in halogenated hematite nanosheets
journal, November 2017


Diagnosis of Interaction-driven Topological Phase via Exact Diagonalization
journal, August 2016


Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice
journal, August 2016


Metal-Insulator Transition of Fermions on a Kagome Lattice at 1/3 Filling
journal, May 2010


Chiral topological phases in optical lattices without synthetic fields
journal, August 2018


Forces in Molecules
journal, August 1939


Phase Diagram for Quantum Hall Bilayers at ν = 1
journal, September 2003


Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers
journal, July 2006


Spin Bose-metal phase in a spin- 1 2 model with ring exchange on a two-leg triangular strip
journal, May 2009


Entanglement scaling in two-dimensional gapless systems
journal, April 2012


Scaling of entanglement in 2 + 1-dimensional scale-invariant field theories
journal, February 2015

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  • DOI: 10.1088/1742-5468/2015/02/P02010

Entanglement signatures of quantum Hall phase transitions
journal, January 2009


Two-component quantum Hall effects in topological flat bands
journal, March 2017


Quantum anomalous Hall insulator stabilized by competing interactions
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    Works referencing / citing this record:

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.