# Indirect forces between impurities in one-dimensional quantum liquids

@article{Waechter2007IndirectFB, title={Indirect forces between impurities in one-dimensional quantum liquids}, author={P. Waechter and V. Meden and K. Schoenhammer}, journal={Physical Review B}, year={2007}, volume={76}, pages={045123} }

We investigate the indirect interaction between two isolated impurities in a Luttinger liquid described by a microscopic lattice model. To treat the electron-electron interaction $U$, the functional renormalization group method is used. For comparison, we also study the $U=0$ case. We find that for a wide range of impurity parameters the impurity interaction ${V}_{12}$ as a function of their separation $r$ oscillates with decaying amplitude between being attractive and repulsive. For half… Expand

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