Spin liquids are a long-sought-after form of quantum matter, in which basic excitations (spin flips) are “fractionalized” into exotic quasiparticles. The Kitaev honeycomb model is a foundational solvable model that produces Majorana excitations, but finding sharp signatures of these Majoranas has been difficult. So far, experiments have been left to infer their existence by an absence of a sharp signatures in, say, neutron scattering.

The team has shown, theoretically and numerically, that sharp signatures of Majorana excitations do in fact exist for the Kitaev model with a perpendicular magnetic field, but only in the two-spin-flip excitations. The corresponding two-spin-flip structure factor S_2^z (k,ω) has sharp features that reflect the dispersion of the Majorana excitations.

Our results point to specific experimental methods (for example, nonlinear THz spectroscopy) that can be used to identify these sharp signatures in spin liquid candidate materials.

Upper left: A schematic of the Kitaev honeycomb model and its Hamiltonian.
Upper right: a two-spin flip operator creates a pair of Majorana excitations 𝑚 in the ground state. Lower left: the single-spin-flip structure factor 𝑆_1 does not show features of the Majorana excitations. Lower right: the two-spin-flip structure factor 𝑆_2^𝑧 shows sharp features that reflect the dispersion relation of the Majoranas.
Upper left: A schematic of the Kitaev honeycomb model and its Hamiltonian. Upper right: a two-spin flip operator creates a pair of Majorana excitations 𝑚 in the ground state. Lower left: the single-spin-flip structure factor 𝑆_1 does not show features of the Majorana excitations. Lower right: the two-spin-flip structure factor 𝑆_2^𝑧 shows sharp features that reflect the dispersion relation of the Majoranas.