Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
For a class of frustrated spin lattices including for example the 1D sawtooth chain, the 2D Kagomé and checkerboard, as well as the 3D pyrochlore lattices, we construct exact product eigenstates consisting of several independent, localized one-magnon states in a ferromagnetic background. Important geometrical elements of the relevant lattices are …