Dilution Effects on Ordering in the ${S=1/2}$ Heisenberg Antiferromagnet on the Square Lattice

dc.creatorBehre, J.
dc.creatorMiyashita, S.
dc.date1993-05-10
dc.date.accessioned2026-07-07T03:06:50Z
dc.date.available2026-07-07T03:06:50Z
dc.descriptionThe influence of dilution with non--magnetic impurities on the order in the ground state of the $S=1/2$ Heisenberg antiferromagnet is investigated by Quantum Monte Carlo simulations. Data of the spin correlation functions and thermodynamic properties for system sizes up to $L\times L=16\times16$ and for impurity concentrations up to $δ=37.5\%$ are presented. In the low doping regime the correlation length shows similiar dependence on temperature as in the pure case. The staggered magnetization $\langle N_z^2(δ)\rangle$ in the ground state which is the order parameter of the present model is estimated by extrapolating data at low temperatures. Impurity concentration dependence of $\langle N_z^2(δ)\rangle$ is presented. $\langle N_z^2(δ)\rangle$ decreases monotonically with impurity concentration and becomes very small around $δ_c \sim 0.35$ which is much smaller than the classical percolation threshold.
dc.description6 pages in REVTeX, including 9 figures Postscript
dc.identifierhttps://arxiv.org/abs/cond-mat/9305004
dc.identifierhttp://arxiv.org/abs/cond-mat/9305004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26959
dc.subjectCondensed Matter
dc.titleDilution Effects on Ordering in the ${S=1/2}$ Heisenberg Antiferromagnet on the Square Lattice
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