Doping on the kagome lattice: A variational Monte-Carlo study of the $t-J$ model

Abstract

We study doping on the Kagome lattice by exploring the $t-J$-model with variational Monte-Carlo. We use a number of Gutzwiller projected spin-liquid and valence bond-crystal states and compare their energies at several system-sizes. We find that introducing mobile holes drives the system away from the Spin-Liquid state proposed by Ran et al for the undoped system, towards a uniform state with zero-flux. On top of the uniform-state a VBC of the Hastings-type is formed for low doping. The results are compared to exact diagonalization on small clusters. This agrees well.

5 pages, 7 figures

References in corpus (15)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• The ALPS project release 1.3: open source software for strongly correlated systems
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Spin waves in the Frustrated Kagome Lattice Antiferromagnet KFe3(OH)6(SO4)2
• ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
• Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
• Spin-1/2 kagome compounds: volborthite vs herbertsmithite
• The symmetry of the spin Hamiltonian in herbertsmithite, a spin-1/2 kagomé lattice
• Bond order wave instabilities in doped frustrated antiferromagnets: "Valence bond solids" at fractional filling

Cited by in corpus (11)

• Competing electronic orders on Kagome lattices at van Hove filling
• Holon Wigner Crystal in a Lightly Doped Kagome Quantum Spin Liquid
• 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
• Unveiling the physics of the doped phase of the Kagome $t-J$ model
• Inhomogeneous magnetism in the doped kagome lattice of LaCuO2.66
• 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
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Effect of Dirac Spinons on ARPES signatures of Herbertsmithe