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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) (SC-22); 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. 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},
number = 1,
volume = 3,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
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