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Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice.

W Zhu1, Shou-Shu Gong2, Tian-Sheng Zeng1

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Researchers discovered an interaction-driven spontaneous quantum Hall effect in a kagome lattice model. This emergent Chern insulator phase arises from loop currents, demonstrating a novel pathway to topological states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Phases of Matter

Background:

  • Topological states of matter are typically induced by external magnetic fields, spin-orbit coupling, or magnetic doping.
  • Understanding interaction-driven topological phases is crucial for novel quantum phenomena and materials design.

Purpose of the Study:

  • To investigate the emergence of a spontaneous quantum Hall effect in an extended fermion-Hubbard model on a kagome lattice.
  • To demonstrate an interaction-driven topological phase in a system without intrinsic topological properties in its noninteracting limit.

Main Methods:

  • Utilized state-of-the-art density-matrix renormalization group (DMRG) on cylinder geometry.
  • Employed exact diagonalization techniques on torus geometry for robust analysis.

Main Results:

  • Identified an incompressible liquid phase with doublet degenerate ground states acting as time-reversal partners.
  • Observed spontaneous time-reversal symmetry breaking driven by emergent uniform circulating loop currents.
  • Characterized the topological nature via quantized Hall conductance, confirming a quantum Hall phase.

Conclusions:

  • The study presents a proof-of-principle for interaction-driven topological phases.
  • This work highlights the potential of the extended fermion-Hubbard model on a kagome lattice for realizing novel quantum Hall states.
  • Findings pave the way for exploring interaction-driven topological phenomena in systems with trivial noninteracting bands.