Subtlety of Determining the Critical Exponent $ν$ of the Spin-1-2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice - Condensed Matter > Strongly Correlated ElectronsReport as inadecuate




Subtlety of Determining the Critical Exponent $ν$ of the Spin-1-2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice - Condensed Matter > Strongly Correlated Electrons - Download this document for free, or read online. Document in PDF available to download.

Abstract: Puzzled by the indication of a new critical theory for the spin-1-2Heisenberg model with a spatially staggered anisotropy on the square lattice assuggested in \cite{Wenzel08}, we study a similar anisotropic spin-1-2Heisenberg model on the honeycomb lattice. The critical point where the phasetransition occurs due to the dimerization as well as the critical exponent$ u$ are analyzed in great detail. Remarkly, using most of the available datapoints in conjunction with the expected finite-size scaling ansatz with asub-leading correction indeed leads to a consistent $ u = 0.6912$ with thatcalculated in \cite{Wenzel08}. However by using the data with large number ofspins $N$, we obtain $ u = 0.7076$ which agrees with the most accurate MonteCarlo O3 value $ u = 0.71125$ as well.



Author: F.-J. Jiang, U. Gerber

Source: https://arxiv.org/



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