Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-05-18
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 5 figures, typo fixed, reference added
Scientific paper
10.1103/PhysRevLett.99.127004
Using examples of the square- and triangular-lattice Heisenberg models we demonstrate that the density matrix renormalization group method (DMRG) can be effectively used to study magnetic ordering in two-dimensional lattice spin models. We show that local quantities in DMRG calculations, such as the on-site magnetization M, should be extrapolated with the truncation error, not with its square root, as previously assumed. We also introduce convenient sequences of clusters, using cylindrical boundary conditions and pinning magnetic fields, which provide for rapidly converging finite-size scaling. This scaling behavior on our clusters is clarified using finite-size analysis of the effective sigma-model and finite-size spin-wave theory. The resulting greatly improved extrapolations allow us to determine the thermodynamic limit of M for the square lattice with an error comparable to quantum Monte Carlo. For the triangular lattice, we verify the existence of three-sublattice magnetic order, and estimate the order parameter to be M = 0.205(15).
Chernyshev Alexander L.
White Steven R.
No associations
LandOfFree
Neel order in square and triangular lattice Heisenberg models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Neel order in square and triangular lattice Heisenberg models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Neel order in square and triangular lattice Heisenberg models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-439621