1997/11/30 by Leonid P. Pryadko, Steven A. Kivelson, Steven Kivelson +2 · 1 citation
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #cond-mat
paper · pdf · doi:10.1103/physrevlett.80.5651
published as Phys.Rev.Lett. 80 (1998) 5651-5654 · Revtex, 5 pages two-column format, 3 ps figures (epsf). Two references added and some textual changes
arxiv created 1998/02/26 · openalex publication_date 1998/06/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 r^\ensuremath-2d+1 in d dimensions. For ``stripes,'' i.e., parallel (d\ensuremath-1)-dimensional hypersurfaces of localized holes, the interaction energy per unit hyperarea is attractive and falls, generically, like r^\ensuremath-d. 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.