Instability of Charge Ordered States in Doped Antiferromagnets

Leonid P. Pryadko, Steven Kivelson, and Daniel W. Hone
Phys. Rev. Lett. 80, 5651 – Published 22 June 1998
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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 r2d+1 in d dimensions. For “stripes,” i.e., parallel (d1)-dimensional hypersurfaces of localized holes, the interaction energy per unit hyperarea is attractive and falls, generically, like rd. 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

Authors & Affiliations

Leonid P. Pryadko1, Steven Kivelson1, and Daniel W. Hone2

  • 1Department of Physics & Astronomy, University of California, Los Angeles, California 90095
  • 2Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

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Vol. 80, Iss. 25 — 22 June 1998

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