Dynamics in a two-leg spin ladder with a four-spin cyclic interaction

2008/11/17 by Satoshi Nishimoto, S. Nishimoto, Mitsuhiro Arikawa +1
Mathematics · Physics and Astronomy · #Antiferromagnetism #Chiral symmetry #Chirality (physics) #Condensed matter physics #Dimer #Geometry #Mathematical physics #Mathematics #Omega #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Quantum chromodynamics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #Scalar (mathematics) #Spin (aerodynamics) #Spin structure #Spin wave #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.79.113106

4 pages, 4 figures

arxiv created 2008/11/17 · openalex publication_date 2009/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the two-leg Heisenberg ladder with four-spin cyclic interaction using the (dynamical) density-matrix renormalization-group method. We demonstrate the dependence of the low-lying excitations in the spin wave, staggered dimer order, and scalar-chirality order structure factors on the four-spin cyclic interaction. We find that the cyclic interaction enhances spin-spin correlations with wave vector around momentum (q_x,q_y)=(\frac\ensuremathπ2,0). Also, the presence of long-range order in the staggered dimer and scalar-chirality phases is confirmed by a \ensuremathδ-function peak contribution of the structure factors at energy \ensuremathω=0.

Citations

• Effects of biquadratic exchange on the spectrum of elementary excitations in spin ladders
• Density-matrix algorithms for quantum renormalization groups
• Phase diagram of a spin ladder with cyclic four-spin exchange
• Dynamics of spin ladders
• Cyclic spin exchange in cuprate spin ladders
• DYNAMICS IN ONE-DIMENSIONAL SPIN SYSTEMS – DENSITY MATRIX RENORMALIZATION GROUP STUDY
• Staggered dimer order and criticality in anS=12quantum spin ladder system with four-spin exchange