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 subdimensional 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 nonbipartite, thus broadening the space of candidate materials that may support the spiral spin liquid phases. As examples, we examine neutron scattering experiments performed on two spinel compounds, ZnCr2Se4 and CuInCr4Se8, to demonstrate the feasibility of this new approach and expose its possible limitations in experimental realizations.
@article{osti_1922317,
author = {Gao, Shang and Pokharel, Ganesh and May, Andrew F. and Paddison, Joe and Pasco, Chris and Liu, Yaohua and Taddei, Keith and Calder, Stuart and Mandrus, David and Stone, Matthew B. and others},
title = {Line-Graph Approach to Spiral Spin Liquids},
annote = {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 subdimensional 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 nonbipartite, thus broadening the space of candidate materials that may support the spiral spin liquid phases. As examples, we examine neutron scattering experiments performed on two spinel compounds, ZnCr2Se4 and CuInCr4Se8, to demonstrate the feasibility of this new approach and expose its possible limitations in experimental realizations.},
doi = {10.1103/physrevlett.129.237202},
url = {https://www.osti.gov/biblio/1922317},
journal = {Physical Review Letters},
issn = {ISSN 0031-9007},
number = {23},
volume = {129},
place = {United States},
publisher = {American Physical Society (APS)},
year = {2022},
month = {11}}
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 764https://doi.org/10.1016/j.nima.2014.07.029