Variational study of J1-J2 Heisenberg model on Kagome lattice using projected Schwinger boson wave functions

Abstract

Motivated by the unabating interest in the spin-1/2 Heisenberg antiferromagnetic model on the Kagome lattice, we investigate the energetics of projected Schwinger boson (SB) wave functions in the $J_1$--$J_2$ model with antiferromagnetic $J_2$ coupling. Our variational Monte Carlo results show that Sachdev's $Q_1=Q_2$ SB ansatz has a lower energy than the Dirac spin liquid for $J_2\gtrsim 0.08J_1$ and the $\mathbf{q}=0$ Jastrow type magnetically ordered state. This work demonstrates that the projected SB wave functions can be tested on the same footing as their fermionic counterparts.

4 pages, 5 figures

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Cited by in corpus (51)

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• The $S=1/2$ Kagome Heisenberg Antiferromagnet Revisited
• Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• The Heisenberg antiferromagnet on the kagome lattice with arbitrary spin: A high-order coupled cluster treatment
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• Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice
• The mother of all states of the kagome quantum antiferromagnet
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• Symmetric tensor networks and practical simulation algorithms to sharply identify classes of quantum phases distinguishable by short-range physics
• Detecting crystal symmetry fractionalization from the ground state: Application to ${\mathbb{Z}}_2$ spin liquids on the kagome lattice
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• Tensor network representations of parton wave functions
• Gutzwiller-projected states for the $J_1$-$J_2$ Heisenberg model on the kagome lattice: achievements and pitfalls
• Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice
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• Spin-1/2 Heisenberg antiferromagnet on an anisotropic kagome lattice
• Competing Spin Liquid Phases in the S=$\frac{1}{2}$ Heisenberg Model on the Kagome Lattice
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• Microscopic theory of the nearest-neighbor valence bond sector of the spin-1/2 kagome antiferromagnet
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• Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Variational Monte Carlo study of gapless spin liquid in the spin-$1/2$ XXZ antiferromagnetic model on the kagome lattice
• Finite size effects in the Z_2 spin liquid on the kagome lattice
• Broken discrete and continuous symmetries in two dimensional spiral antiferromagnets
• Spinon Majorana fermions
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Order-by-disorder from Schwinger bosons in a frustrated honeycomb ferromagnet
• Emergence of magnetic long-range order in kagome quantum antiferromagnets