Tuning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems

Zeng, Tian-Sheng; Zhu, Wei; Sheng, Donna

doi:10.1038/s41535-018-0120-5

Title: Tuning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems

Journal Article · 21 September 2018 · npj Quantum Materials

DOI: https://doi.org/10.1038/s41535-018-0120-5 · OSTI ID:1483527

^[1];

^[2]; Sheng, Donna ^[3]

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

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES); US Army Research Office (ARO)

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 1483527

Report Number(s):: LA-UR-18-23297

Journal Information:: npj Quantum Materials, Vol. 3, Issue 1; ISSN 2397-4648

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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