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

Abstract

Interaction driven topological phases can significantly enrich the class of topological materials and thus are of great importance. Here, 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 instablity 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 shed new light on the theoretical understanding of the interaction-driven phases in QBT systems.

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Cited by in corpus (24)

• Interacting topological insulators: a review
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Quantum Anomalous Hall Insulator Stabilized By Competing Interactions
• Quantum critical behavior of two-dimensional Fermi systems with quadratic band touching
• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
• Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Quantum Anomalous Hall Phase Stabilized via Realistic Interactions on a Kagome Lattice
• Quantum Phases of Kagome Electron System with Half-Filled Flat Bands
• Determining non-Abelian topological order from infinite projected entangled pair states
• Soluble Fermionic Quantum Critical Point in Two Dimensions
• Interaction-driven quantum anomalous Hall insulator in Dirac semimetal
• Determining topological order from infinite projected entangled pair states
• Chirality-2 fermion induced anti-Klein tunneling in 2D checkerboard lattice
• Ubiquitous nematic Dirac semimetal emerging from interacting quadratic band touching system
• Quantifying the fragility of unprotected quadratic band crossing points
• Instability of QBC systems to Topological Anderson Insulating phases
• Fate of Quadratic Band Crossing under quasiperiodic modulation
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Variational methods for characterizing matrix product operator symmetries
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point
• Bound states in two-dimensional Fermi systems with quadratic band touching
• Universal entanglement correction induced by relevant deformations at the quantum critical point
• Quantum anomalous Hall domains in a Quenched Topological Mott Insulator