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Loop Current Order on the Kagome Lattice.

Jun Zhan1,2, Hendrik Hohmann3, Matteo Dürrnagel3,4

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Researchers modeled loop current order (LCO) in kagome materials, finding it emerges as a ground state due to unique lattice geometry and interactions. This discovery offers insights into exotic quantum states and potential quantum anomalous Hall effects.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials Science

Background:

  • Kagome materials host exotic quantum states like charge density waves (CDW) and superconductivity.
  • Experimental evidence suggests time-reversal symmetry breaking in CDW, hinting at loop current order (LCO).
  • Microscopic modeling and unbiased simulations of LCO remain challenging.

Purpose of the Study:

  • To develop a microscopic model for LCO on a spinless kagome lattice with nonlocal interactions.
  • To explore ordering tendencies using unbiased many-body simulations.
  • To understand the mechanism driving LCO formation.

Main Methods:

  • Development of a microscopic model for LCO on the spinless kagome lattice.
  • Utilizing unbiased functional renormalization group (fRG) calculations.
  • Exploration of ordering tendencies across all two-particle scattering channels.

Main Results:

  • Sublattice interference suppresses onsite CDW order at Van Hove filling.
  • LCO, charge bond order, and nematic CDW emerge as competing states.
  • A 2x2 LCO state is identified as the many-body ground state over a significant parameter space with strong second nearest-neighbor repulsion.

Conclusions:

  • The interplay between sublattice characters and kagome lattice geometry drives LCO formation.
  • The resulting electronic model with LCO resembles the Haldane model.
  • The study predicts a potential quantum anomalous Hall state and discusses experimental implications for kagome metals.