Schwinger boson theory of the J1,J2=J3 kagome antiferromagnet

Abstract

We study the kagome antiferromagnet for quantum spin-1/2 with first J1, second J2 and third J3 neighbour exchanges, along the J2 = J3 = J line. We use Schwinger-boson mean-field theory for the precise determination of the phase diagram, and two different rewritings of the Hamiltonian to build an intuition about the origin of the transitions. The spin liquid obtained at J = 0 remains essentially stable over a large window, up to J = 1/3, because it is only weakly frustrated by the J term. Then at J = 1/2, the intermediate Z2 spin liquid condenses into a long-range chiral order because of the change of nature of local magnetic fluctuations. As a side benefit, our Hamiltonian rewriting offers an exact solution for the ground state of our model on a Husimi cactus.

Last version before publication in PRB

References in corpus (7)

• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Symplectic N and time reversal in frustrated magnetism
• Exotic disordered phases in the quantum $J_1-J_2$ model on the honeycomb lattice
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Flux expulsion and greedy bosons: frustrated magnets at large N
• Emergent Potts order in the kagomé $J_1-J_3$ Heisenberg model

Cited by in corpus (9)

• Pinch-points to half-moons and up in the stars: the kagome skymap
• Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
• $\require{mhchem}$Quantum paramagnetism in the decorated square-kagome antiferromagnet $\ce{Na6Cu7BiO4(PO4)4Cl3}$
• Piercing the Dirac spin liquid: From a single monopole to chiral states
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Chiral bosonic quantum spin liquid in the integer-spin Heisenberg-Kitaev model
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Order-by-disorder from Schwinger bosons in a frustrated honeycomb ferromagnet