RESUMEN
The Heisenberg antiferromagnetic chain is a canonical model for understanding many-body gaps that emerge in quantum magnets, and as a result, there has been significant work on this class of materials for much of the past century. Chiral chains, on the other hand, have received markedly less attention. [Cu(pym)(H2O)4]SiF6·H2O (pym = pyrimidine) is an S = 1/2 chiral antiferromagnet with an unconventional spin gap and no long-range ordering at zero field, features that distinguish it from more conventional spin chains that host simple phase diagrams and no magnetoelectric coupling. Here, we report pulsed magnetic field electrical polarization measurements, strong magnetoelectric coupling, and extraordinary magnetic field - temperature phase diagrams for this system. In addition to three low field transitions, we find a series of phase transitions between 40 and 70 T that depend on the magnetic field direction. The observation of electric polarization in a material with a nonpolar crystal structure implies symmetry-breaking magnetic ordering that creates a polar axis - a mechanism that we discuss in terms of significant interactions between the chiral chains as well as Dzyaloshinskii-Moriya effects. Further, we find second-order magnetoelectric coupling, allowing us to deduce the magnetic point group of the highest polarization phase. These findings are in contrast to expectations for an unordered one-dimensional spin chain and reveal a significantly greater complexity of behavior in applied field.