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Line-Graph Approach to Spiral Spin Liquids

Strongly Correlated Electrons 2022-12-01 v1 Materials Science

Abstract

Competition among exchange interactions is able to induce novel spin correlations on a bipartite lattice without geometrical frustration. A prototype example is the spiral spin liquid, which is a correlated paramagnetic state characterized by sub-dimensional degenerate propagation vectors. Here, using spectral graph theory, we show that spiral spin liquids on a bipartite lattice can be approximated by a further-neighbor model on the corresponding line-graph lattice that is non-bipartite, thus broadening the space of candidate materials that may support the spiral spin liquid phases. As illustrations, we examine neutron scattering experiments performed on two spinel compounds, ZnCr2_2Se4_4 and CuInCr4_4Se8_8, to demonstrate the feasibility of this new approach and expose its possible limitations in experimental realizations.

Keywords

Cite

@article{arxiv.2210.11781,
  title  = {Line-Graph Approach to Spiral Spin Liquids},
  author = {Shang Gao and Ganesh Pokharel and Andrew F. May and Joseph A. M. Paddison and Chris Pasco and Yaohua Liu and Keith M. Taddei and Stuart Calder and David G. Mandrus and Matthew B. Stone and Andrew D. Christianson},
  journal= {arXiv preprint arXiv:2210.11781},
  year   = {2022}
}

Comments

20 pages, 18 figures

R2 v1 2026-06-28T04:09:17.955Z