Scattering Signatures of Bond-Dependent Magnetic Interactions

Abstract

Bond-dependent magnetic interactions can generate exotic phases such as Kitaev spin-liquid states. Experimentally determining the values of bond-dependent interactions is a challenging but crucial problem. Here, I show that each symmetry-allowed nearest-neighbor interaction on triangular and honeycomb lattices has a distinct signature in paramagnetic neutron-diffraction data, and that such data contain sufficient information to determine the spin Hamiltonian unambiguously via unconstrained fits. Moreover, I show that bond-dependent interactions can often be extracted from powder-averaged data. These results facilitate experimental determination of spin Hamiltonians for materials that do not show conventional magnetic ordering.

5 pages, 3 figures

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• Quantum spin liquid ground state in the disorder free triangular lattice NaYbS${}_2$
• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
• Comprehensive study of the dynamics of a classical Kitaev spin liquid

Cited by in corpus (9)

• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Hybridized quadrupolar excitations in the spin-anisotropic frustrated magnet FeI2
• Spiral spin-liquid on a honeycomb lattice
• Bond-dependent anisotropy and magnon decay in cobalt-based Kitaev triangular antiferromagnet
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Continuous spin excitations in the three-dimensional frustrated magnet K2Ni2(SO4)3
• Quantum and classical spin dynamics across temperature scales in the S = 1/2 Heisenberg antiferromagnet
• Determining the range of magnetic interactions from the relations between magnon eigenvalues at high-symmetry k points