On the generalization of the exponential basis for tensor network representations of long-range interactions in two and three dimensions

Zhendong Li, Matthew J. O'Rourke, Garnet Kin-Lic Chan

In one dimension (1D), a general decaying long-range interaction can be fit to a sum of exponential interactions $e^{-\lambda r_{ij}}$ with varying exponents $\lambda$, each of which can be rep…