Frstrated models

[HamidArianZad]

Dear DSQSS developer,

Thank you for your nice package. I am studying the 2D frustrated spin models. Is it possible to use the DSQSS package for investigating the low-temperature magnetization of the frustrated lattices such as triangular and Kagome lattices?

[yomichi]

Unfortunately, NO. For frustrated models, the statistical error gets exponentially large as the inverse temperature and/or the system size becomes large.

The attached figure shows the temperature dependence of the energy density of the antiferromagnetic Heisenberg model on a 3x3 triangular lattice calculated by exact diagonalization and QMC. (Below T=1, the errors are so large that estimates of the errors themselves are not reliable.)

[HamidArianZad]

OK, From the figure it seems that the package works well for temperatures higher than unity (T>1) for the both frustrated and unfrustrated spin lattices, right? If so, do the external magnetic field, anisotropies and the strength of the exchange couplings affect on the precision of the QMC results for the frustrated lattices?