Theory of stripes in quasi-two-dimensional rare-earth tellurides

Even though the rare-earth tritellurides are tetragonal materials with a quasi-two-dimensional band structure, they have a hidden one-dimensional character. The resultant near-perfect nesting of the Fermi surface leads to the formation of a charge density wave (CDW) state. We show that, for this band structure, there are two possible ordered phases: A bidirectional checkerboard state would occur if the CDW transition temperature were sufficiently low, whereas a unidirectional striped state, consistent with what is observed in experiment, is favored when the transition temperature is higher. This result may also give some insight into why, in more strongly correlated systems, such as the cuprates and nickelates, the observed charge ordered states are generally stripes as opposed to checkerboards.