Abstract
We study the spin-1 honeycomb lattice magnets with frustrated exchange interactions. The proposed microscopic spin model contains first and second neighbor Heisenberg interactions as well as the single-ion anisotropy. We establish a rich phase diagram that includes a featureless quantum paramagnet and various spin spiral states induced by the mechanism of order by quantum disorder. Although the quantum paramagnet is dubbed featureless, it is shown that, the magnetic excitations develop a contour degeneracy in the reciprocal space at the band minima. These contour degenerate excitations are responsible for the frustrated criticality from the quantum paramagnet to the ordered phases. This work illustrates the effects of magnetic frustration on both magnetic orderings and the magnetic excitations. We discuss the experimental relevance to various Ni-based honeycomb lattice magnets.
Highlights
Frustrated magnetism is a large topic in modern strong correlation physics [1,2,3]
As we show in this paper, this quantum paramagnet is dubbed “trivial and featureless,” the magnetic frustration brings extra features on top of this featureless ground state
The coherent magnetic excitations develop a contour degenerate band minima when the frustration of the exchange interaction becomes large. We identify this property as one direct consequence of the magnetic frustration
Summary
Frustrated magnetism is a large topic in modern strong correlation physics [1,2,3]. Frustration usually refers to competing interactions that cannot be optimized simultaneously. The coherent magnetic excitations develop a contour degenerate band minima when the frustration of the exchange interaction becomes large. We identify this property as one direct consequence of the magnetic frustration. The advantage of the flavor wave approach is that the physical nature of the ground state and the corresponding excitations is straight-forward For this purpose, we define the mapping between the boson operators and the spin states as ai†,1|∅ ≡ Siz = 1 , ai†,0|∅ ≡ Siz = 0 ,. In the intermediate J2/J1 and when J2 and J1 are comparable, a large frustration is expected for the exchange part, and we experience a contour degenerate band minima in the excitation spectra This is a consequence of magnetic frustration on the quantum mechanical excitations of a featureless quantum paramagnetic state
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