Quantum gap and spin-wave excitations in the Kitaev model on a triangular 
lattice

Avella, A.; Di Ciolo, A.; Jackeli, G.

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Quantum gap and spin-wave excitations in the Kitaev model on a triangular lattice

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Jackeli, G.
Max Planck Society;

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Avella, A., Di Ciolo, A., & Jackeli, G. (2018). Quantum gap and spin-wave excitations in the Kitaev model on a triangular lattice. Physica B, 536, 350-352.

Cite as: https://hdl.handle.net/21.11116/0000-000E-D420-E

Abstract

We study the effects of quantum fluctuations on the dynamical generation of a gap and on the evolution of the spin-wave spectra of a frustrated magnet on a triangular lattice with bond-dependent Ising couplings, analog of the Kitaev honeycomb model. The quantum fluctuations lift the subextensive degeneracy of the classical ground-state manifold by a quantum order-by-disorder mechanism. Nearest-neighbor chains remain decoupled and the surviving discrete degeneracy of the ground state is protected by a hidden model symmetry. We show how the four-spin interaction, emergent from the fluctuations, generates a spin gap shifting the nodal lines of the linear spin-wave spectrum to finite energies.