Holon Wigner Crystal in a Lightly Doped Kagome Quantum Spin Liquid

Abstract

We address the problem of a lightly doped spin-liquid through a large-scale density-matrix renormalization group (DMRG) study of the $t$-$J$ model on a Kagome lattice with a small but non-zero concentration, $\delta$, of doped holes. It is now widely accepted that the undoped ($\delta =0$) spin 1/2 Heisenberg antiferromagnet has a spin-liquid groundstate. Theoretical arguments have been presented that light doping of such a spin-liquid could give rise to a high temperature superconductor or an exotic topological Fermi liquid metal (FL${}^{\ast }$). Instead, we infer that the doped holes form an insulating charge-density wave state with one doped-hole per unit cell - i.e. a Wigner crystal (WC). Spin correlations remain short-ranged, as in the spin-liquid parent state, from which we infer that the state is a crystal of spinless holons (WC${}^{\ast }$), rather than of holes. Our results may be relevant to Kagome lattice Herbertsmithite $\mathrm{ZnC}{\mathrm{u}}_3(\mathrm{OH}{)}_6\mathrm{C}{\mathrm{l}}_2$ upon doping.

5 pages, 5 figures, plus Supplementary Information. More references are added

References in corpus (11)

• Theory of Intertwined Orders in High Temperature Superconductors
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• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
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• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
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