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A helix has a wavevector along the z axis with the magnetic momentsferromagnetically-aligned within xy planes with a turn angle kd between themoments in adjacent planes in transverse field Hx = 0. The magnetic structureand x-axis average magnetization per spin of this system in a classical XYanisotropy field HA is studied versus kd, HA, and large Hx at zero temperature.For values of HA below a kd-dependent maximum value, the xy helix phasetransitions with increasing Hx into a spin-flop (SF) phase where the orderedmoments have x, y, and z components. The moments in the SF phase are taken tobe distributed on either one or two xyz spherical ellipses. The minor axes ofthe ellipses are oriented along the z axis and the major axes along the y axiswhere the ellipses are flattened along the z axis due to the presence of the XYanisotropy. From energy minimization of the SF spherical ellipse parameters forgiven values of kd, HA and Hx, four kd-dependent SF phases are found: eitherone or two xyz spherical ellipses and either one or two xy fans, in addition tothe xy helix phase and the paramagnetic (PM) phase with all moments alignedalong Hx. The PM phase occurs via second-order transitions from the xy fan andSF phases with increasing Hx. Phase diagrams in the Hx-HA plane are constructedby energy minimization with respect to the SF phases, the xy helix phase, andthe xy fan phase for four kd values. One of these four phase diagrams iscompared with the magnetic properties found experimentally for the modelhelical Heisenberg antiferromagnet EuCo2P2 and semiquantitative agreement isfound.

physical review. b./physical review. b

Magnetic structure and magnetization of z-axis helical Heisenberg  antiferromagnets with XY anisotropy in high magnetic fields transverse to the  helix axis at zero temperature