Simulation of vacancies in a two-dimensional Ising antiferromagnet

1 November 1988

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 38 (13) , 8958-8966
https://doi.org/10.1103/physrevb.38.8958

Abstract

We present simulations of one- and two-vacancy states in a two-dimensional square-lattice Ising antiferromagnet. We find that the energy of the single-vacancy ground state scales as

J^{2 / 3}

, where J is the spin-spin coupling. The S- and P-wave states of two vacancies are bound, with binding energy scrE∝

J^{2 / 3}

and J, respectively, while the D-wave state is unbound.

Keywords

This publication has 13 references indexed in Scilit:

Two-particle excitations in antiferromagnetic insulators
Physical Review Letters, 1988
Superconductivity from antiferromagnetic exchange interactions
Physical Review Letters, 1987
Antiferromagnetism in ${La}_{2}$ ${CuO}_{4 - y}$
Physical Review Letters, 1987
Isotope Effect in the High- $T_{c}$ Superconductors ${Ba}_{2}$ Y ${Cu}_{3}$ $O_{7}$ and ${Ba}_{2}$ Eu ${Cu}_{3}$ $O_{7}$
Physical Review Letters, 1987
Evidence for superconductivity above 40 K in the La-Ba-Cu-O compound system
Physical Review Letters, 1987
Possible highT c superconductivity in the Ba?La?Cu?O system
Zeitschrift für Physik B Condensed Matter, 1986
Two-dimensional Hubbard model: Numerical simulation study
Physical Review B, 1985
Monte Carlo simulations of one-dimensional fermion systems
Physical Review B, 1982
Single-Particle Excitations in Magnetic Insulators
Physical Review B, 1970
Electron correlations in narrow energy bands
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963