Geometrical frustration and low dimensionality play crucial roles in many experimental systems of current interest. In this talk I describe non-trivial interplay between these two elements in determining the phase diagram of the spatially anisotropic triangular antiferromagnet in an applied magnetic field. I make extensive comparison with much studied quantum antiferromagnet Cs2CuCl4 and argue that its complicated phase diagram is controlled by extremely small anisotropic Dzyaloshinskii-Moriya interactions. |