Non-symmetry-breaking ground state of the S =1 Heisenberg model on the kagome lattice

摘要: The $S=1$ antiferromagnetic Heisenberg model on a Kagome lattice is studied using the density-matrix renormalization group method. To identify ground state, we take four kinds of clusters into account; periodic, cylindrical, and two open ones. hexagonal singlet solid (HSS) triangular valence bond (TVBS) states are artificially generated by modulating edge shapes clusters. We find that energy par sites HSS state $e_0=E_0/N =-1.41095$, which readily lower than TVBS ($e_0=-1.3912 \pm 0.0025$). This agrees well with those cylindrical ($e_0=-1.40988$) periodic ($e_0=-1.409 0.005$) clusters, where no assumption as to ordering posed. Thus, conclude picture consistent describe model. further confirmed finding non-symmetry-breaking in calculations dimer-dimer correlation functions entanglement entropy Finally, estimate single-triplet gap: has $\Delta=0.1919$, while excited larger one $\Delta=0.2797$.