Quantum spin chains with frustration due to Dzyaloshinskii-Moriya   interactions
  The properties of two quantum spin chain materials, K$_2$CuSO$_4$Cl$_2$ and K$_2$CuSO$_4$Br$_2$, are studied by a variety of experimental techniques, including bulk measurements, neutron spectroscopy and ESR. The hierarchy of relevant terms in the magnetic Hamiltonian is established. It is shown that these two compounds feature substantial Dzyaloshinskii-Moriya (DM) interactions that are uniform within each chain, but antiparallel in adjacent chains. The result is a peculiar type of frustration of inter-chain interactions, which leads to an unusual field-temperature phase diagram. 
Manuel H\"alg, Wolfram E. A. Lorenz, Kirill Yu. Povarov, Martin   M{\aa}nsson, Yurii Skourski, Andrey Zheludev
cond-mat.str-el