Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction

Abstract

Motivated by recent experiments on spin chain materials K${}_2$CuSO${}_4$Cl${}_2$ and K${}_2$CuSO${}_4$Br${}_2$, we theoretically investigate the problem of weakly coupled spin chains (chain exchange $J$, interchain $J^{\prime }$) subject to a $\text{staggered between chains}$, but $\text{uniform}$ within a given chain, Dzyaloshinskii-Moriya (DM) interaction of magnitude $D$. In the experimentally relevant limit $J^{\prime }\ll D\ll J$ of strong DM interaction the spins on the neighboring chains are forced to rotate in opposite directions, effectively resulting in a cancelation of the interchain interaction between components of spins in the plane normal to the vector $D$. This has the effect of promoting two-dimensional collinear spin density wave (SDW) state, which preserves U(1) symmetry of rotations about the $D$-axis. We also investigate response of this interesting system to an external magnetic field $h$ and obtain the $h-D$ phase diagrams for the two important configurations, $h\parallel D$ and $h\perp D$.

27 pages, 28 figures; added Section III and Appendix F; accepted to Phys. Rev. B

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Cited by in corpus (7)

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• Critical metrology of minimally accessible anisotropic spin chains
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• Spin gap in a quasi-1D S=1/2 antiferromagnet K2CuSO4Cl2
• Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange
• Field-induced dimer orders in quantum spin chains