Doping quantum spin liquids on the Kagome lattice

Abstract

We review recent density-matrix renormalization group (DMRG) studies of lightly doped quantum spin liquids (QSLs) on the kagome lattice. While a number of distinct conducting phases, including high-temperature superconductivity, have been theoretically anticipated we find instead a tendency toward fractionalized insulating charge-density-wave (CDW) states. In agreement with earlier work (Jiang, Devereaux, and Kivelson, Phys. Rev. Lett. $119$, 067002 (2017)), results for the $t$-$J$ model reveal that starting from a fully gapped QSL, light doping leads to CDW long-range order with a pattern that depends on lattice geometry and doping concentration such that there is one doped-hole per CDW unit cell, while the spin-spin correlations remain short-ranged. Alternatively, this state can be viewed as a stripe crystal or Wigner crystal of spinless holons, rather than doped holes. From here, by studying generalized versions of the $t$-$J$ model, we extend these results to light doping of other types of QSLs, including critical and chiral QSLs. Our results suggest that doping these QSLs also leads to insulating states with long-range CDW orders. While the superconducting correlations are short-ranged, they can be significantly enhanced by second-neighbor electron hopping. The relevance of our numerical results to Kagome materials is also discussed.

9 pages, 9 figures

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• The Hubbard Model
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Topological chiral and nematic superconductivity by doping Mott insulators on triangular lattice
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Diluting a triangular-lattice spin liquid: Synthesis and characterization of NaYb${}_{1-x}$Lu${}_x$S${}_2$ single crystals
• Superconductivity in kagome metal ThRu3Si2
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Quantum spin liquid from electron-phonon coupling
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Magnetic fluctuations near the Van Hove singularity in the kagome-lattice Hubbard model at finite doping
• Magnetic response and antiferromagnetic correlations in strained kagome ribbons