2008/08/02 by Satoshi Nishimoto, S. Nishimoto, Mitsuhiro Arikawa +1
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Coupling (piping) #Frustration #Heisenberg model #Periodic boundary conditions #Physics of Superconductivity and Magnetism #Renormalization group #Spin (aerodynamics) #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1088/1742-6596/145/1/012041
4 pages, 2 figures
arxiv created 2008/08/02 · openalex publication_date 2009/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study three-leg antiferromagnetic Heisenberg model with the periodic boundary conditions in the rung direction. Since the rungs form regular triangles, spin frustration is induced. We use the density-matrix renormalization group method to investigate the ground state. We find that the spin excitations are always gapped to remove the spin frustration as long as the rung coupling is nonzero. We also visibly confirm spin-Peierls dimerization order in the leg direction. Both the spin gap and the dimerization order are basically enhanced as the rung coupling increases.