2008/06/15 by Satoshi Nishimoto, S. Nishimoto, Mitsuhiro Arikawa +1
Mathematics · Physics and Astronomy · #Antiferromagnetism #Boundary (topology) #Boundary value problem #Condensed matter physics #Density matrix renormalization group #Geometry #Magnetic properties of thin films #Mathematical analysis #Mathematics #Periodic boundary conditions #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #Renormalization group #Scaling #Spin (aerodynamics) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.78.054421
10 pages, 8 figures
arxiv created 2008/06/15 · openalex publication_date 2008/08/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the (dynamical) density-matrix renormalization group method, we study the low-energy physics of three-leg antiferromagnetic Heisenberg model where the periodic boundary conditions are applied in the rung direction. We confirm that the spin excitations are always gapped as long as the intraring couplings form a regular triangle. From precise finite-size-scaling analyses of the spin gap and dimerization order parameter, we also find that the spin gap is collapsed by very small asymmetric modulation of the intraring couplings. Moreover, the dynamical spin structure factors on the intraleg and interleg correlations are calculated. It is demonstrated that the low-lying structure of the interleg spectra is particularly affected by the asymmetric modulation.