Finite-Size Scaling in the Diluted Two-Dimensional Heisenberg Antiferromagnet

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概要

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• Ground state properties of the randomly diluted two-dimensional Heisenberg antiferro-magnet are discussed. Quantum Monte Carlo (stochastic series expansion) data for L × L lattices, with L up to 64, are extrapolated to infinite size for dilution fractions p between 0 (clean system) and p (the percolation threshold). The sublattice magnetization is calculated using a decomposition into a classical and a quantum mechanical factor, which are evaluated separately. The quantum mechanical factor (the sublattice magnetization of the largest connected cluster of magnetic sites) remains finite at the percolation threshold, implying that the dilution driven order-disorder transition is a classical percolation transition. The spin stiffness is calculated using the winding number fluctuations.

• 理論物理学刊行会の論文
• 2002-06-28

著者

• Sandvik Anders

  Department Of Physics Abo Akademi University

• SANDVIK Anders

  Department of Physics, Abo Akademi University

関連論文

• Matrix product states-properties and extensions(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
• Finite-Size Scaling in the Diluted Two-Dimensional Heisenberg Antiferromagnet

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