Abstract
We analyze the induced interactions between localized holes in weakly doped Heisenberg antiferromagnets due to the modification of the quantum zero point spin wave energy; i.e., the analog of the Casimir effect. We show that this interaction is uniformly attractive and falls off as in dimensions. For “stripes,” i.e., parallel -dimensional hypersurfaces of localized holes, the interaction energy per unit hyperarea is attractive and falls, generically, like . We argue that, in the absence of a long-range Coulomb repulsion between holes, this interaction leads to an instability of any charge-ordered state in the dilute doping limit.
- Received 14 November 1997
DOI:https://doi.org/10.1103/PhysRevLett.80.5651
©1998 American Physical Society