{"paper":{"title":"Monte Carlo Determination of the Low-Energy Constants of a Spin 1/2 Heisenberg Model with Spatial Anisotropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"cond-mat.str-el","authors_text":"F. J. Jiang, F. K\\\"ampfer, M. Nyfeler","submitted_at":"2009-02-27T16:11:15Z","abstract_excerpt":"Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBCO as proposed in \\cite{Pardini08}, we use the first principles Monte Carlo method to study the spin 1/2 Heisenberg model with antiferromagnetic couplings $J_{1}$ and $J_{2}$ on the square lattice. The corresponding low-energy constants, namely the spin stiffness $\\rho_s$, the staggered magnetization density ${\\cal M}_s$, the spin wave velocity $c$, as well as the ground state energy density $e_0$ are determined by fitting the Monte Carlo data to the predictions of magnon chiral perturbation the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.4861","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}