Unveiling the physics of the doped phase of the Kagome $t-J$ model

Abstract

We investigate the ground state properties of the Kagome lattice $t-J$ model at low doping. We propose a new state of matter. Our results suggest an interesting phase with a balance of spin-exchange and kinetic exchange through the building blocks of stars and their internal hexagons, being linked by triangles. The particles favor to hop in the hexagons, while the spin-exchange is taking place mainly on the stars. The combined effect leads to the formation of the "Star of David" valence bond crystal. We discuss our result in connection with static impurities, and show the likely relevance to the diluted Kagome lattice Heisenberg model, describing actual compounds.

5 pages, 4 figures

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Cited by in corpus (8)

• Optical detection of charge-density-wave instability in the non-magnetic kagome metal KV${}_3$Sb${}_5$
• Possible superconductivity with Bogoliubov Fermi surface in lightly doped Kagome U(1) spin liquid
• Antiferromagnetism, $f$-wave and chiral $p$-wave superconductivity in a Kagome lattice with possible application to $s{d}^2$-graphenes
• Quantum Phases of Kagome Electron System with Half-Filled Flat Bands
• Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
• Li doping kagome spin liquid compounds
• Comment on "Unconventional Fermi Surface Instabilities in the Kagome Hubbard Model" by M. Kiesel, C. Platt, and R. Thomale, Phys. Rev. Lett. {\bf 110}, 126405 (2013)
• Matrix element interference in $N$-patch functional renormalization group