Spin waves and phase transition on a magnetically frustrated square lattice with long-range interactions

Abstract

We investigate the effects of long-range interactions on the spin wave spectra and the competition between magnetic phases on a frustrated square lattice with large spin S. Applying the spin wave theory and assisted with symmetry analysis, we obtain analytical expressions for spin wave spectra of competing Neel and (π, 0) stripe states of systems containing any-order long-range interactions. In the specific case of long-range interactions with power-law decay, we find surprisingly that the staggered long-range interaction suppresses quantum fluctuation and enlarges the ordered moment, especially in the Neel state, and thus extends its phase boundary to the stripe state. Our findings illustrate the rich possibilities of the roles of long-range interactions, and advocate future investigations in other magnetic systems with different structures of interactions.

Graphical abstract

Keywords

spin wave / phase transition / frustration / square lattice / long-range interaction / antiferromagnet

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Acknowledgements

We thank Wei Ku, Nvsen Ma and Bo Li for helpful discussions. This work was supported by NKRDPC-2018YFA0306001, NKRDPC-2022YFA1402802, NSFC-92165204, NSFC-11974432, GBABRF-2019A1515011337, Shenzhen International Quantum Academy (Grant No. SIQA202102), and Leading Talent Program of Guangdong Special Projects (No. 201626003).

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