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A complete phase diagram of Zn substituted quantum quasi-two-dimensionalhelimagnet LiCu2O2 has been presented. Helical ordering transition temperature(T_h) of the original LiCu2O2 follows finite size scaling for less than ~ 5.5%Zn substitution, which implies the existence of finite helimagnetic domainswith domain boundaries formed with nearly isolated spins. Higher Znsubstitution > 5.5% quenches the long-range helical ordering and introduces anintriguing Zn level dependent magnetic phase transition with slight thermalhysteresis and a universal quadratic field dependence for T_c (Zn > 0.055,H).The magnetic coupling constants of nearest-neighbor (nn) J1 andnext-nearest-neighbor (nnn) J2 (alpha=J2/J1) are extracted from hightemperature series expansion (HTSE) fitting and N=16 finite chain exactdiagonalization simulation. We have also provided evidence of directcorrelation between long-range helical spin ordering and the magnitude ofelectric polarization in this spin driven multiferroic material.

Nonmagnetic impurity perturbation to the quasi-two-dimensional quantum helimagnet LiCu2O2