Ripple state in the frustrated honeycomb-lattice antiferromagnet

Abstract

We discover a new type of multiple-$q$ state, "ripple state", in a frustrated honeycomb-lattice Heisenberg antiferromagnet under magnetic fields. The ground state has an infinite ring-like degeneracy in the wavevector space, exhibiting a cooperative paramagnetic state, "ring-liquid" state. We elucidate that the system exhibits the ripple state as a new low-temperature thermodynamic phase via a second-order phase transition from the ring-liquid state, keeping the ring-like spin structure factor. The spin texture in real space looks like a "water ripple" and can induce a giant electric polarization vortex. Possible relationship to the honeycomb-lattice compound, $\mathrm{B}{\mathrm{i}}_3\mathrm{M}{\mathrm{n}}_4{\mathrm{O}}_{12}(\mathrm{N}{\mathrm{O}}_3)$, is discussed.

6+7 pages, 3+7 figures, revised manuscript accepted in PRL

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• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S=3/2 Antiferromagnetic Honeycomb Lattice Compound Bi3Mn4O12(NO3)
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