2001/03/20 by A. E. Trumper, Adolfo E. Trumper, C. J. Gazza +1 · 27 citations
Mathematics · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Coupling (piping) #Density matrix renormalization group #Ground state #Materials science #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quadratic growth #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Renormalization group #Spin (aerodynamics) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.64.134408
published in Physical review. B, Condensed matter 64(13) (American Physical Society) · 5 pages, 7 ps-figures
arxiv created 2001/03/20 · openalex publication_date 2001/09/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The effect of antiferromagnetic interchain coupling in alternating spin-(1,1/2) chains is studied by means of spin-wave theory and density-matrix renormalization group (DMRG). In particular, two limiting cases are investigated, the two-leg ladder and its two-dimensional (2D) generalization. Results of the ground-state properties like energy, spin gap, magnetizations, and correlation functions are reported for the whole range of the interchain coupling J_\ensuremath⊥. For the 2D case the spin-wave results predict a smooth dimensional crossover from 1D to 2D keeping the ground state always ordered. For the ladder system, the DMRG results show that any J_\ensuremath⊥>0 drives the system to a gapped ground state. Furthermore the behavior of the correlation functions closely resemble the uniform spin-1/2 ladder. For J_\ensuremath⊥ lower than 0.3, however, the gap behaves quadratically as \ensuremathΔ\ensuremath∼0.6J_\ensuremath⊥2. Finally, it is argued that the behavior of the spin gap for an arbitrary number of mixed coupled spin chains is analogous to that of the uniform spin-1/2 chains.